Evaluate `(-8x^2y^6)xx(\ -20 x y)for\ x=2. 5\ a n d\ y=1.`

Write down the product of \ 8x^2y^6a n d-20 x ydot Verify the product for x=2. 5 , y=1.

Find the value of (5x^6)xx\ (-1. 5 x^2y^3)xx(-12 x y^2)\ when \ x=1, y=0. 5.

The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-20\ a n d\ the orthocentre is (1,1). Find the equation of the third side.

Given system of simultaneous equations 2^x\ . 5^y=1\ a n d\ 5^(x+1). 2^y=2. Then - (a) . x=(log)_(10)5\ a n d\ y=(log)_(10)2 (b) . x=(log)_(10)2\ a n d\ y=(log)_(10)5 (c) . x=(log)_(10)(1/5)\ a n d\ y=(log)_(10)2 (d) . x=(log)_(10)5\ a n d\ y=(log)_(10)(1/2)

Find the value of 27 x^3+\ 8y^3, if (i) 3x+2y=14 and x y=8 (ii) 3x+2y=20\ and x y=(14)/9

The equation of the circle which inscribes a suqre whose two diagonally opposite vertices are (4, 2) and (2, 6) respectively is : (A) x^2 + y^2 + 4x - 6y + 10 = 0 (B) x^2 + y^2 - 6x - 8y + 20 = 0 (C) x^2 + y^2 - 6x + 8y + 25 = 0 (D) x^2 + y^2 + 6x + 8y + 15 = 0

Find the value of x^3-8y^3-36 x y-216 , when x=2y+6.

Find the value of x^3-8y^3-36 x y-216 , when x=2y+6.

For what value of k is the circle x^2 + y^2 + 5x + 3y + 7 = 0 and x^2 + y^2 - 8x + 6y + k = 0 cut each other orthogonally.

The equation of the circle having the intercept on the line y+2x=0 by the circle x^2 + y^2 + 4x + 6y = 0 as a diameter is : (A) 5x^2 + 5y^2 - 8x + 16y =0 (B) 5x^2 + 5y^2 + 8x - 16y =0 (C) 5x^2 + 5y^2 - 8x - 16y =0 (D) 5x^2 + 5y^2 + 8x+- 16y =0