Question 26. 26. If the equation ax2 - 6xy + y2 + bx + cx + d = 0 represents a pair of lines whose slopes are m and m2, the value(s) of a is/are- (A) a = -8 ( B) a = 8 (C) a = 27 (D) a = -27 Share with your friends Share 10 Aditi Jain. answered this Dear Student,If the equation of pair of lines is Ax2 + 2Hxy + By2+2Gx + 2Fy + C = 0, thenSum of the slopes of two lines=-2HBProduct of the slopes of two lines=ABThe given equation is,ax2 - 6xy + y2 + bx + cy + d = 0 .....1Comparing 1 with standard equation, we get2H = -6; B = 1; A = aFrom the given question:m+m2=61⇒m2+m-6=0⇒m2+3m-2m-6=0⇒m(m+3)-2(m+3)=0⇒(m+3)(m-2)=0⇒m=2 and -3Also,m×m2=a⇒a=23 and -33⇒a=8 and -27Regards 7 View Full Answer
