HBSE Class 10 Question Paper 2026 Maths Standard

FOR HBSE CLASS 10 EXAM PREPARATION

HBSE Class 10 2026
Question Paper · Maths
Standard
EXAM YEAR TYPE SUBJECT

HBSE Class 10 2026 Question Paper Maths Standard

Notes · Sample Papers · Previous Year Papers · Mock Tests

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CLASS : 10th (Secondary) Code No. 3503

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( % $ " "! # ! ) ! * $ !$ !!

3503/(Set : A) P. T. O.

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(2) 3503/(Set : A)
• 34 "& ( 5 1! 6# : 2 /;.
+ ,! - $ " " & '$
• 34 "& ( 5 "< $= % # . > % ( " #6 -" #6 34 "
.
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! ! !!
• "? , = "# @ % & ' " % #6 . " # @ "< % &' " (2 A
#6 -" - B % 34 " " " % # .
0 ! ! ! ! ! # ! . ! !
! &! " # ! 1! & % $2 !-
!& # !
• ) % 34 " = ( %! "# % &' = -8 " ? 3" $
01 $= A 5 " .
( % "! # ! ) ! !& - $ ! !
! # ! ) ! " # $
%

=% >
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$ C% ' 6 / > 8 68 8 -" D - .
(* ! ! )! !* ! # !

6 /! " "" C% .- " "# 1( B !# "$ %E
34 " 8 "< 5, = , C% 6 "$ -" A , ' " " C% -.
+ ! % " # ! % " ! % " ! "# !
0 3 ! 03 ) ) % ! $ # !
$ "$ ! ' $ # !

3503/(Set : A)

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(3) 3503/(Set : A)
6 / !6 " # ( 34 " 4* C " C% -.
! ) ! % 4 &* ! 4* !& # ! %
% "!
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c o m %" # ( 34 " * C " %% C% -.
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% ! %"

- a6 g/ ! % % = 34 " 5 C " C% -.
! * ! % 5 " 5 !& # ! %
% % ! %

- 6 / !D C% 6 % %# C " " && C% -.
3 ! $ % ! %# ! ! &$ # !
%&
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A C% , 6 / ! D % C% " B C -. 3
C% !( -.
,' -' . 6 - ) - % !
$ # ! % +)! # !
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ag 7 ! !! ! "- " ' " ! & '$
F& " " 34 "& ( 5 9 % #6 .
7 ! ! & '$ * ! " '

3503/(Set : A) P. T. O.

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(4) 3503/(Set : A)
6 /–
SECTION – A

" # -" & G = - - = #' &
-" & = ( '
# $ -" #
AH 6 -. ! $ &" = # -" )! $ &" = # -8 * " * "+
1
" ,( -" '. !" '/ 0" 1.
' &
) &2 3 4 = # & = (# ' $ 3
# 2 % ! $ &" = # )! $ &" = # $ * "
* "+
" ,( -" '. !" '/ 0" 1.

1 1
α$ β 1 ( & " = && ( − '& − , % -8 + 1" 1" I 1
β α
−' ' −, ,
" -" !" 0"
, , ' '

1 1
α$ β 5 6 & " = && ( − '& − , $ + 7 6
β α
−' ' −, ,
" -" !" 0"
, , ' '

,(
% (
= -8 > 1
89
" = 6 - -" = -
!" " 6 - 0" " 6 -
( ,(
= $ 6
89
" 3 2 -"
!" 2 0" 2

3503/(Set : A)

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(5) 3503/(Set : A)
& : : # ( $ * 1/" -" ' * (" %;% # " -8 - > 1

" <19 -" 19 !" <= 0" =
> : : 3 4 ( $ * 1/" '? * (" 4 4
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( ( & &
(
7 4 7 +$ + =/ 3 7 $ 1 1
7 6

−$ $ − $( $(
" -" !" 0"
( ( & &
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" ( 1' $ $= -" 1' $ $= !" & ( $ $= 0" ( ( $ $=
4 4 <.$ &" 1$ /"$
4 4 6

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g la " ! ,( =% -" ! ,( =% !" ! ,( =% a 0" @ ! ,( =%
a > 3 4 A ,$ <=" '$ &"
16( $ 6
" 7 -" 7 !" 7 0" @7

3503/(Set : A) P. T. O.

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(6) 3503/(Set : A)
# 8 0 -!$ 0 + ' 4 $ -0 + & 4 -" -! + 1& 4 $ 1 0 1" 1" - > 1

0

- !

" ,4 -" =4 !" & 4 0" ' 4
$ 0 -!$ 0 + ' 4 $ -0 + & 4 -! + 1& 4 $ 0
7 6

0

- !

" ,4 -" =4 !" &4 0" '4

$ 8 # )4 5 % = "6 -8 +&4 -" + '/°8
1" 1" - I 1

" (4 -" &4

!" ( ' 4 0" & ' 4

3503/(Set : A)

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(7) 3503/(Set : A)
$ 4 4 3 4 4 + & 4
+ '/°% > 7 6

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" (4 -" &4 !" ( ' 4 0" & ' 4

1 1
" α= 4 β= $ α * β" -> 1
( (
" /° -" '/° !" =/° 0" 8/°

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1 1
B α= 4 β= $ α * β" 6
( (
" /° -" '/° !" =/° 0" 8/°

& θ− θ
θ=' 8 1 1" 1" - >
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& θ+ θ
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& θ− θ
& θ = '$ 7 6
& θ+ θ

( 1 1 '
" -" !" 0"
' ' ( &

3503/(Set : A) P. T. O.

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(8) 3503/(Set : A)
" θ+ (
θ =1 8 1 4 (
θ+4 &
θ" > 1
1
" ( -" ' !" 0" 1
(
( ( &
θ+ θ = 1$ C 4 θ+4 θ" 6
1
" ( -" ' !" 0" 1
(
"% 'H :& : # )4 1 °1 # 'H 6 / ? 'F# LLLLLLLLLLLLL -. 1
> 4 4 1 °1 4 4 3 :& : DDDD%% %

"& 1& 4 'H -" &.° # )4 'H 6 / " LLLLLLLLLLLLLL -. 1
> 4 4 4 1& 4 4 &.°
DDDD %

" # )*+ ? 'F# ( 1= 6 8 -. 3 ( LLLLLLLLLLLLL -. 1
> 4 3 1= 6 8% >
DDDDD% %

" " 1 -" 1 (# 9 % > (. -" (9 -8 3 1 < I 1
2 (. (9 4 $ 3
2 E

"' 0 #6 1 # > 1
M ,= 6
1/ '
(/ 1(
'/ (,
&/ .,
./ ,.
=/ 9/
1 (# =N .
3503/(Set : A)

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* $ ,' /0 7 % "$ $
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0" A , " # -8 # " " -.
3503/(Set : A) P. T. O.

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( 10 ) 3503/(Set : A)
, ; 4 ( + '" . − '" 2 %
( , ( ; 4 3 2 2 %
" - " " " 4 4
C "%
-" - " " $2 " 4 4
C "%
!" " $2 " %
0" " $2 " %

A , )4
'H . 4 -" ' 4 -8 1/; )4 3
#1 $= 2 )4 5 % = " -8 = 4 -. 1
" ( 1 " 1( )4 " 6 ! $= 5 % = "6 #1 $ 1" 1" -.
" A , " -" " " - -" " "$ A , " K 6
" -.
-" A , " -" " " -8 # " "$ A , " K 6
" -.

!" A , " -8 # " " # -.
0" A , " # -8 # " " -.
, >3 4 4 44 4 .4 '4 $
4 4 4 3 4 4 4 4 =4 %
( , ( > 3 C 4 4
7 %
" - " " " 4 4
C "%
-" - " " $2 " 4 4
C "%
!" " $2 " %
0" " $2 " %

3503/(Set : A)

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( 11 ) 3503/(Set : A)
6 / –6
SECTION – B

0 # 6 "- 6 " (P # ">
" 2
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= &I − =&
' & = 9
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3 7 6
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+ = &I
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− =& ag
ag ' & = 9

8/ 4 #1 $= # #/; 1B1 # 6A " " 1%( !# " "
-. " 1B1 ; '%= Q " -8 & / 1 3 #/; 2 #1 $= N .2
8/ 4 3 ? 3 2
1%( % '%= 2 $ 3
& 4 %
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3503/(Set : A) P. T. O.

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( 12 ) 3503/(Set : A)
% ! (A (= -!0 )4 " " -. R ( * 0+ + + * (0 . 2

7 (0+ 3 4 4 4 2 4 4 %; ( * 0+ + + * (0

& 'A ( (0 8 - -8 + 1 -8 G "
( 4 + 1. 2
(0$ ($ + 1$
( 4 + 1%

3503/(Set : A)

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( 13 ) 3503/(Set : A)
,
OR

m
− (" =
1
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1
I /° J * ( ≤ 8/°I K ($ 1 -" ( N
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a − (" = 4 + (" =
1
I /° J * ( ≤ 8/°I K ($ (%
( (

( 4 'H "- =/° # )4 'H 6 / ? 'F# N . , 8 =
'H 6 / ? 'F# A N . π + '%1& # 2
4 4 4 3 ( 4 =/°%
4 A 4
m % L π + '%1&"

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6 /–
SECTION – C

R ' " 6 -. 3
; ' 2 %
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α$ β 1 ( "== (
−'−, % -8 α( * β( N c. o. 3

. c e m
s
(

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"==
a
−'−, $

s
la # Fð J "
α( * β(%
ag
ag ! " (P * '& + = -" ( < '& + 1( -. -8
3 Fð # ". 3
! 4? 4 3 7 * '& + = ( < '& + 1(
4 % $ 4 %

3503/(Set : A) P. T. O.

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( 14 ) 3503/(Set : A)
,
OR

3 " # (5 # # # %! % (B - -" 3 1 G
# "< % (B -. 1 "6 # .& S 8 1 (1
! 1 "6 # &( S . %! % (B -" G "< % (B
N . 3
2 C 4
4 4 % B .& 2 ? ? $
3 2 &( 2 ? ? % C 4
4 4 C %

$ # )4 " 1 T 1 ( 5 % = "6 -" 3 6 ! $= -. R
3+( 3. 3
>3 3 3 4 4 3 4 C
%; 3+( 3%

% % =$ &
θ+ (
θ= 4& θ − 4( θ -. 3
& (
G 3 θ+ θ= 4& θ − 4( θ %

,
OR

R θ+4 4 θ"( + 4 θ+ 4 θ"( = , + (
θ+4 (
θ -. 3

; θ+4 4 θ"( + 4 θ+ 4 θ"( = , + (
θ+4 (
θ%

%" 1 1// 6 # 1// /5 -. 1 U< /5 ) O2 7
# 8- $ N 3 "> 3
" 1. AH 6

3503/(Set : A)

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( 15 ) 3503/(Set : A)
" = = 6
" 6 .
2 C4 1// 4 3 4 2 1 1//% 4 3
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2 C$ 2 2 2 6

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l as 2 %
ag
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SECTION – D

% " VW; ! " 9 6 '( - , # -" ( F#
( F# ( , 6 1. -. 6 N . 5
> 4 4 2 %;% '(
4 4 3
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; 6 8$ 1,$ (.$ LLLLLLLLLLLL ='= I , 8 ; (/ -"
'/ N . 5
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.co
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se
;%
m
s em%% 'A ( (0 A( -" +8 " 'A ( la 3
g -. A( -"
la
( 0 3
∆ (0 M a
ag -" 9 %> ( - . % =$ ∆ 3 5
G ( N 0 + (0 4
3 3 %G 3 ∆ (0 M ∆ 3 %

3503/(Set : A) P. T. O.

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( 16 ) 3503/(Set : A)
,
OR

(0+ #1 - ( +0 - -" $ = & " 1 ( " - . % =$
0
= -. 5
( +
(0+ 5 3 4 ( +0 4 4
0
%G 3 = %
( +

%& 01 1# " - " % ( " -. 1# " A Q! $=
-" K 9 % > (%1 -" & -8 -" % ( = Q! $= (%9 -8 $ 01 1
# (< - ? 'F# N . , 8 .// ( " $ (< -
# N . 01 " - W -. 5
4 2 4 4 %
4 4 (%1 & 4 $

(%9 $ 4 ?
% $ 4 4 .// (%

F 2 3 2 4 3 4 "
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OR

+ 6#- = # " Q" - #1 )4 % ( "-. % (
Q! $= ( 4 - -" " K & 4 -. $ 6 # - =" .
#1 )4 1# $ 6 # - " 8 1# -" 6 # - "N .
π + '%1& # " 5
2 4 4 4 %
> 4 (4 2 &4 %0
% 4 4 4 4 4 4 2 $
4 4 % > ? π + '%1&"

3503/(Set : A)

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( 17 ) 3503/(Set : A)
% ! 1 (9%. -8 -" & N > 5

= "# 1 "1 "
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&/ ./ &

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2 2 3 (9%.$ &6
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1/ (/
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g l a
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> =/

3503/(Set : A) P. T. O.

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( 18 ) 3503/(Set : A)
,
OR

F-< X ./ " - ;" 0 #6 1 " !" >
- " S .// .(/ .(/ .&/ .&/ .=/ .=/ .9/ .9/ =//
V 6 1( 1& 9 = 1/
3 (< 3 " F-< X V - " N . 5
! 3 2 3 ./ 3 ? 4 6
0 3 " .// .(/ .(/ .&/ .&/ .=/ .=/ .9/ .9/ =//
F 2 3 ? 1( 1& 9 = 1/

3 3 ? 4 2
%
6 / –D
SECTION – E

% A" Y 1= 1 " " 1 ( (" .- # 8 ( A A "(.-
Y 5( " -" !# " .- 0( " 5 " !
6 $= $= -. 0( " (2 %! 6 Y 1= 1 .- 6
6 G 5( B 3 1 $= $= 5 ( 6 ( H; ,.
3 (# 3G B (1/ , .

3503/(Set : A)

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( 19 ) 3503/(Set : A)
" G 5 ( B N 7 N . 1
" $= 5, K < " # J " 1 " #6 . 1
" 3G 5 ( 6 , G 5 ( B N . 2
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3 # '// , . 3G 5 ( 6 , G 5 ( l#as
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@ ! 5 % > 2 ? 4 4 4
%> 4 3 2 3%
? 4 2 4 % 3 2
4 4 4 4 4 3
34 2 4 4 % > 4 4
3 (1/%

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" 7 4 7 %

" 2 4 4 4 4 4 %

3503/(Set : A) P. T. O.

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( 20 ) 3503/(Set : A)
OR

4 4 3 '//% 2
4 4 4 4 4 %

%' #1 1 $# 59 $5 # " 6 "% " - -"
" = -. 1O! O;L-BO 6 # -8 5X -. ;L-B
6# (* A 1" 7 1W; #8 5 # :;L-B " 1
# Z A % (7 " F- # 8 2' " A 1 /=
- " " # >5 # ? 8 2' J" 1 A 1 /= !'
6 -.

;L-B " 1 #
-" 1O! 1!

Q" $= " " "8 ! % 34 " >
" = 0 , (+ O2 1 ( =% N . 1

3503/(Set : A)

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( 21 ) 3503/(Set : A)
" = 0 #1 $= N . 1

" A 1 /= -!0 ? 'F# N . 2

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m .co
A ( - m#1 . $= s e
s e
= ! #1 $= ( N .
l a 2

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a4 % ! 3 4
?
O;L-BO 4
3 ?
%
> 4 3 2 4 ;L-B$ 4 4
:- F ;L-B: 4 $ 3 4 ? 4
2 4 6 4 4 2 2 4 8
4 3 %

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" 4 4 0 (+%

3503/(Set : A) P. T. O.

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( 22 ) 3503/(Set : A)
" 0%

" 4 - (0+%

OR

( 0%

%# 1 # 6A "%U= = $= -8 - >
" " $ (# % 6"1 (" -8 $ = " X# 2 -. $ %U= =
.
2" " $= " <% -! W# -8 $ #$ -" X# " 2
-.

$#< X % .Q! 6 A " 1 # 6"1 + " -. "0 "
# 3 6A Q" 1 ! U$ ( ! -.

3503/(Set : A)

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( 23 ) 3503/(Set : A)
Q" $= " " "8 ! % 34 " >
" W; #1 $= ! 8 ?- =/ / " [( " ;7"
(! I
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2

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a I
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4 4 4 4 4 $ ? 6
" $ 3 3 4 3
%> 3 4 4 4 %
2" 3 4 4 4 $ 3 3
3 4 %
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4 4 4 4 . %
4 1 2 3 ? 3 ?%

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3503/(Set : A) P. T. O.

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( 24 ) 3503/(Set : A)
- 2 $ 3 3 7 6

" H 2 3 4 $ 3
4 =/° 5 $ 2 4 7
E

" 3 4 E

OR

H ? 4 &
E

S

3503/(Set : A)

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