Question

15. prove that the equation 3(x)2+7xy+ 2y + 5x +5y +2=0 represents a pair of straight line & find the Roi Coordinate of the point of intersection and find the angle between them​

Answer 1

Answer:

3x²+7xy+2y²+5x+5y+2=0

=> 3x²  + xy + 6xy+ 2y² + 3x + 2x + 4y + y + 2 =  0

=> 3x²  + xy +  + 2x + 6xy+ 2y²  + 4y + 3x + y + 2 =  0

=> x(3x + y + 2) + 2y(3x + y + 2) + 1( 3x + y + 2 ) = 0

=> (3x + y+ 2)(x + 2y + 1) = 0

3x + y+ 2 = 0 , x + 2y + 1 = 0

3x + y+ 2  = 0 is  Equation of straight line

x + 2y + 1 = 0  is  also Equation of straight line

Step-by-step explanation: