TS EAMCET Model Paper Maths

Syllabus for TS EAMCET - E Stream (Engineering Stream) MODEL QUESTIONS – MATHEMATICS 1) The order and degree of the differential equation 2 2 d y dy dy dx 2 ( ) +3 dx ( ) are +2 y=log dx 1) 2 and 2 2) 1 and 2 3) order 2 and degree not defined 4) order not defined but degree is 2 2) Match the following: List A List B (I) Example of bijective function (a) f(x+y) = f(xy) x,yR (II) Example of surjective function (b) f(x) = x2 , f: RR (III) Example of neither surjective nor (c) f(x) = 2x , f: R(0,∞) injective function (IV) Example of a constant function (d) f(x) = x2 , f: R(0,∞) (e) f(x) = x2 , f: (0,∞)R The correct match of List (A) from List (B) is I II III IV 1) d b e a 2) c d b a 3) a b e d 4) d c b a 3) If sin-1 x+ sin-1 2x = π/3, then x= 1) 3 / 27 2) 2 / 37 3) 3 / 72 4) 2 / 73 4) The variance of 30 observations is 3. If each of the observations is multiplied by 3, then the variance of the resulting observations is : 1) 3 2) 9 3) 27 4) 81 5) If the sum of two positive numbers is k, then the sum of their squares will be minumum, when the numbers are 1) k/4, k/4 2) k/3, k/3 3) k/2, k/2 4) k,k 6) The inverse of the point (2,3) with respect to the circle x2+y2=16 is 1) (32/26, 48/26) 2) (32/26, 48/26) 3) (32/13, 48/13) 4) (32/13, 48/13) docs.

Syllabus for TS EAMCET 2019-E Stream (Engineering Stream) 7. Assertion (A) : The system of linear equations x− y + z=0, x+ 2 y −z=0, 2 x + y +3 z=0 has only trivial solution Reason(R): If rank of coefficient matrix is 3, then a system of 3 homogeneous linear equations in three variables has only trivial solution 1) Both A & R are True and R is the correct explanation of A 2) Both A & R are True and R is not correct explanation of A 3) A is True but R is False 4) R is True but A is False π/2 sinx π 8. Statement I : ∫ sinx+ cosx dx= 2 0 a f ( x ) dx=¿∫ f ( a−x ) dx . 0 Statement II : a ∫¿ 0 1. Statement I is True but statement II is false 2. Statement II is True but statement I is false 3. Statement I and statement II are True 4. Both Statements I and II are false. 3 x+ 4 A B x +C Dx+ E 9. If = + + 2 . , then the value of A ( x +1 ) (x 2 + x+ 1)2 x +1 2 x + x+ 1 2 ( x + x +1) is 1. -2 2. -1 3. 1 4. 2 docs.