Straight Lines questions
982 published questions with worked solutions.
- The area (in square units) of the quadrilateral formed by two pairs of lines l^2x^2-m^2y^2-n(lx+my)=0 and...
- The ratio in which the line 3x+4y+2=0 divides the distance between 3x+4y+5=0 and 3x+4y-5=0, is
- The equation of a straight line passing through (1,2) and having intercept of length 3 between the straight lines 3x+4y=24 and...
- If the line segment joining (2,3) and (-1,2) is divided internally in the ratio 3:4 by the line x+2y= , then =
- If A( , ), B( ,- ), C(1,2) are the vertices of a ABC, then as varies the locus of its centroid is
- The equation of the line passing through the intersection of the lines x-3y+1=0 and 2x+5y-9=0 and at distance 5 from the origin,...
- If the point (1, ) always remains in the interior of the triangle formed by the lines y=x, y=0 and x+y=4, then lies in the...
- The line (p+2q)x+(p-3q)y=p-q for different values of p and q passes through the fixed point
- The coordinates of three vertices of a quadrilateral in order are (6,1), (7,2) and (-1,0). If the area of the quadrilateral is 4...
- A point equidistant from the lines 4x+3y+10=0, 5x-12y+26=0 and 7x+24y-50=0 is
- The area of the parallelogram formed by the lines x +y =p, x +y =q, x +y =r and x +y =s for given values of p,q,r and s is least,...
- If the line y=mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same point, then m is equal to
- The image of the point (3,8) in the line x+3y=7, is
- If the lines ax+2y+1=0, bx+3y+1=0, cx+4y+1=0 are concurrent, then a,b,c are in
- Let the base of a triangle lie along the line x=a and be of length 2a. The area of this triangle is a^2 if the vertex lies on the...
- Points A(1,3) and C(5,1) are opposite vertices of a rectangle ABCD. If the slope of BD is 2, then the coordinates of the other...
- The distance between the lines given by (x+7y)^2+4 2(x+7y)-42=0, is
- Given four lines whose equations are x+2y-3=0, 2x+3y-4=0, 3x+4y-7=0 and 4x+5y-6=0, then the lines are
- The orthocentre of the triangle formed by (0,0), (8,0), (4,6) is
- The vertices of a triangle are (0,3), (-3,0) and (3,0). The coordinates of its orthocentre are
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