AP Class 10 FA2 Question Paper 2023 Maths

34 FORMATIVE ASSESSMENT - II - 2023 - 24 MATHEMATICS 20 (Telugu Medium) Class : X ] (Max. Marks : 20) [ Time : 45 Min. Name of the Student : ..................................................... Roll No. : .............. I. Áø+Ï ~ düeTdü´\qT kÕ~Û+#·+&ç. 4x1=4 1. Á|üe#·q+ 1 : (x1, y1), (x2, y2) nqT s ¬ +&ÉT _+<äTe⁄\ eT<Û´ä <ä÷s¡+ (x2  x1)2  (y2  y1)2 [ ] Á|üe#·q+ 2 : eT÷\_+<äTe⁄ eT]j·TT (x, y) _+<äTe⁄\ eT<Û´ä <ä÷s¡+ x2  y2 A) Á|üe#·q+ 1 e÷Á‘·yT˚ dü‘´· + B) Á|üe#·q+ 2 e÷Á‘·yT˚ dü‘´· + C) s¬ +&ÉT Á|üe#·Hê\T dü‘´· + D) s ¬ +&ÉT Á|üe#·Hê\T ndü‘´· + 2. x + 2y – 3 = 0 eT]j·TT 5x – ky + 8 = 0 \T düe÷+‘·s¡ sπ K\T nsTT‘˚ k = [ ] A) –10 B) 5 C) 10 D) –5 3. es¡Z ãVüQ|ü~ s¡÷|ü+ ______________ [ ] A) düsfi ¡ sπ¯ K B) eè‘·+ Ô C) |üsêe\j·T+ D) ns¡∆ eè‘·+ Ô 4. 2x2 – 4x + 3 = 0 es¡Z düMTø£sD ¡ $#·øD å£ Ï(Discriminant) _________ II. ÁøÏ+~ düeTdü´\qT kÕ~Û+#·TeTT. 2x2=4 5. ªª5 ô|ì‡fi¯ó,¢ 7 ô|qTï\ <Ûs ä ¡ s¡÷.50 eT]j·TT 7 ô|ì‡fi¯ó,¢ 5 ô|qTï\ <Ûsä ¡ s¡÷. 46. á Á|üe#·qeTTqT s¬ +&ÉT #·ss¡ êX¯ó\˝À sπ Fj·T düMTø£sD ¡ +>± Áyêj·T+&ç. 6. 'k' jÓTTø£ÿ @ $\Te≈£î, düMTø£sD ¡ ≤\T 3x + 4y + 2 = 0 eT]j·TT 9x + 12y + k = 0 \T @ø°u$ ÑÛ +#˚ sπ K\e⁄‘êjÓ÷ ø£qT>=q+&ç. III. ÁøÏ+~ düeTdü´qT kÕ~Û+#·TeTT. 1x4=4 7. s¬ +&ÉT dü+K´\ yÓTT‘·+Ô 27 eT]j·TT yê{Ï \ã∆+ 182 nsTTq, Ä s¬ +&ÉT dü+K´\qT ø£qT>=q+&ç. IV. ÁøÏ+~ düeTdü´\qT kÕ~Û+#·TeTT. 1x8=8 8. a) 1, –1 eT]j·TT –3 \T |òTü q ãVüQ|ü~ x3 + 3x2 – x – 3 jÓTTø£ÿ X¯SHê´\T ne⁄H√ ø±<√ <Ûèä Mø£]+#·+&ç X¯SHê´\T eT]j·TT >∑TDø±\ eT<Û´ä dü+ã+<Û+ä qT dü]#·÷&É+&ç. (˝Ò<ë) b) A(2, –2) eT]j·TT B(–7, 4) _+<äTe⁄\qT ø£*ù| s π U≤K+&É+ jÓTTø£ÿ Á‹<∏ëø£sD ¡ _+<äTe⁄\ ìs¡÷|üø±\qT ø£qT>=q+&ç.

34 FORMATIVE ASSESSMENT - II - 2023 - 24 MATHEMATICS 20 (English Medium) Class : X ] (Max. Marks : 20) [ Time : 45 Min. Name of the Student : ..................................................... Roll No. : .............. I. Solve the following problems. 4x1=4 1. Statement 1 : The distance between two points (x1, y1), (x2, y2) is ( x 2  x1 ) 2  ( y 2  y1 ) 2 [ ] Statement 2 : The distance between origin and (x, y) is (x 2  y 2 A) Statement 1 only correct B) Statement 2 only correct C) Both statements are correct D) Both statements are wrong 2. If x + 2y – 3 = 0 and 5x – ky + 8 = 0 are parallel lines then k = [ ] A) – 10 B) 5 C) 10 D) – 5 3. The shape of the quadratic polynomial is ___________ [ ] A) line B) circle C) parabola D) semi circle 4. The discriminant of the quadratic equation 2x2 – 4x + 3 = 0 is _______ II. Solve the following problems. 2x2=4 5. Represent the statement as pair of linear equations in two variables "5 pencils and 7 pens together cost Rs.50 whereas 7 pencils and 5 pens together cost Rs. 46." 6. For what value of 'k', the equations 3x + 4y + 2 = 0 and 9x + 12y + k = 0 represent coincident lines. III. Solve the following problem. 1x4=4 7. Find two numbers whose sum is 27 and product is 182. IV. Solve the following problem. 1x8=8 8. a) Verify 1, –1 and –3 are the zeroes of the cubic polynomial x3 + 3x2 – x – 3 and check the relation between the zeroes and the coefficients. (OR) b) Find the Coordinates of the points of trisection of the line segment joining the points A(2, –2) and B(–7, 4)