Let `y^2 = 2x^2 + 4x + 3 and I_n=int x^n/y dx`, then the value of `a + b + c` where `aI_3+bI_2 +cI_1=x^2y` ,is: (A) 22 (B) 10 (C) 16 (D) 12

If y= a cos(log x) and A ((d^2 y)/(dx^2)) + B (dy/dx) + C = 0 , then the values of A, B, C are............ A) x^2 , -x, -y B) x^2 , x, y C) x^2 , x, y D) x^2 , -x, -y

If [2x+y,4x,5x-7 4x]=[7 7y-13 y x+6] , then the value of x+y is x=3 , y=1 (b) x=2 , y=3 (c) x=2 , y=4 (d) x=3 , y=3

The solution of 2 (y + 3) - x y(dy)/(dx) = 0 with y =-2, when x =1 is :a) (y + 3) = x ^(2) b) x ^(2) (y + 3) = 1 c) x ^(4) (y + 3) = 1 d) x ^(2) ( y +3) ^(2) = e ^(y +2)

If x^(4)+y^(4)=17 and x+y=1, then what is the value of x^(2)y^(2)-2xy?( a) 8 (b) 10(c)12 (d) 16

If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is

If 2x+3y=5 and 3x+2y=10 then x-y= (a) 3 (b) 4 (c) 5 (d) 6

If a, x_1, x_2, …, x_k and b, y_1, y_2, …, y_k from two A. Ps with common differences m and n respectively, the the locus of point (x, y) , where x= (sum_(i=1)^k x_i)/k and y= (sum_(i=1)^k yi)/k is: (A) (x-a) m = (y-b)n (B) (x-m) a= (y-n) b (C) (x-n) a= (y-m) b (D) (x-a) n= (y-b)m

xy=( x+y )^n and dy/dx = y/x then n= 1 b. 2 c. 3 d. 4

xy=( x+y )^n and dy/dx = y/x then n= 1 b. 2 c. 3 d. 4

xy=( x+y )^n and dy/dx = y/x then n= 1 b. 2 c. 3 d. 4