The midpoint of the diagonal of a rectangle formed by x^2+5x-6=0 and y^2-8y-20=0 is

Question

Accepted Answer

Correct answer: C. (c) x^2+5x-6=0 ⇒x^2+6x-x-6=0 ⇒ (x-1 ) (x+6 )=0 ⇒x_1 ,x_2=1 ,-6y^2-8y-20=0 ⇒y^2-10y+2y-20=0 ⇒ (y-10 ) (y+2 )=0 ⇒y_1 ,y_2=-2 ,10 ∴ Midpoint of the diagonal = ( x_1+x_22 , y_1+y_22 )= ( -52 ,4 )

$The midpoint of the diagonal of a rectangle formed by x^{2} + 5 x - 6 = 0 and y^{2} - 8 y - 20 = 0 is$

Solution

More Straight Lines PYQs