There is a specific relationship between the numbers that are given in the following figures. On the basis of the relationship choose the correct alternative to replace the question mark.
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If one of the lines of my2+(1−m2)xy−mx2=0 is a bisector of the angle between the lines xy=0 , then m is (a)1 (b) 2 (c) −21 (d) −1
If two lines represented by x4+x3y+cx2y2−xy3+y4=0 bisect the angle between the other two, then the value of c is (a) 0 (b) −1 (c) 1 (d) −6
Find the area of the triangle formed by the lines y−x=0,x+y=0and x−k=0.
Two lines passing through the point (2, 3) intersects each other at an angle of 60o. If slope of one line is 2, find equation of the other line.
Prove that the angle between the lines joining the origin to the points of intersection of the straight line y=3x+2
with the curve x2+2xy+3y2+4x+8y−11=0
Find the new coordinates of point (3,4) if the origin is shifted to (1, 2) by a translation.
The slope of a line is double of the slope of another line. If tangent of the angle between them is 31, find the slopes of the lines.
Prove that the product of the perpendiculars from (α,β)
to the pair of lines ax2+2hxy+by2=0