" 13."3^(x^(2))+2x

From a point on x+2y-7=0 tangents are drawn to curve 13(x^(2)+y^(2)-2x+1)=(2x+3y-1)^(2) are perpendicular then the point is (a)(19,13) (b) (-19,13) (c) (19,-13) (d)(-19,-13)

If (9x-13)/(x^(2)-2x-15)=(A)/(x+3)+(B)/(x-5) , then A+B is ________.

Factorise : 6x^(3) + 13x^(2) + 9x + 2

Using division algorithm find quotient and remainder dividing x^(3)+13x^(2)+x-2 by 2x+1

Divide : 6x^(3) - 13x^(2) - 13x + 30 by 2x^(2) - x - 6

Using Lagrange's theorem , find the value of c for the following functions : (i) x^(3) - 3x^(2) + 2x in the interval [0,1/2]. (ii) f(x) = 2x^(2) - 10x + 1 in the interval [2,7]. (iii) f(x) = (x-4) (x-6) in the interval [4,10]. (iv) f(x) = sqrt(x-1) in the interval [1,3]. (v) f(x) = 2x^(2) + 3x + 4 in the interval [1,2].

Factorise: (i) x^(3)-2x^(2)-x+2 (ii) x^(3)-3x^(2)-9x-5 (iii) x^(3)+13x^(2)+32x+20 (iv)

If (x^(2)+13x+15)/((2x+3)(x+3)^(2))=A/(2x+3)+B/(x+3)+C/(x+3)^(2) then the descending order of A, B, C is

Find the coefficient of x^(11)" in "(2x^(2)+(3)/(x^(3)))^(13)

Resolve (x^(4)+13x^(2)+15)/((2x^(2)+3)(x^(2)+3)^(2)) into partial fractions