Find the image of the `(-2,-7)` under the transformations (x,y) to `(x-2y,-3x+y).`

Find the image of (2,3) on the line 3x+5y=4.

The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

Locus of the image of the point (2,3) in the line (2x-3y+4)+k(x-2y+3)=0, k in R is a

Find the value of x, y and z from the following equations: (i) [(4,3),(x,5)]=[(y,z),(1,5)] (ii) [(x+y, 2 ),(5+z, xy)]=[(6,2),(5,8)] (iii) [(x+y+z),(x+z), (y+z)]=[(9),(5),(7)]

Find three different solutions of the each of the following equations. (i) 3x + 4y = 7 (ii) y = 6x (iii) 2x - y = 7 (iv) 13x - 12y = 25 (v) 10x + 11y = 21 (vi) x + y = 0

Find the area of the region bounded by the curves y=x^2+2,y=x,x=0" and "x=3 .

Find the area of the region bounded by the curve y - x^(2) + 2, y = x, x = 0 and x = 3.

Find the common factors of the given terms 3x^2y^3 , 10x^3y^2 , x^2y^2z .

Solve the system of equation 2x+ 5y =1 3x +2y =7

Find the area enclosed by the parabola 4y = 3x^(2) and the line 2y = 3x + 12.