Home
Class 12
MATHS
A member of the family of lines (x+ y -1...

A member of the family of lines `(x+ y -1) + lambda(2x +3y-2) =0, lambda in R` intersects a member of the family of lines `(ax+y-2) + alpha(bx + 4y-5) = 0, alpha in R` , at a fixed point. The ordered pair (a, b) is

Promotional Banner

Similar Questions

Explore conceptually related problems

The equation of line belonging to the family of lines (5x+3y-2)+lambda(3x-y-4)=0 , lambda in R ,and at greatest distance from (0,0) is

Locus of the image of the point (1,1) in the line (5x-2y-7)+lambda(2x-3y+6)=0lambda in R, is

Locus of the image of the point (1,1) in the line (5x-2y-7)+lambda(2x-3y+6)=0 (lambda in R'), is

A family of lines is given by (1+3 lambda)x+2 lambda y-1(1-3 lambda)=0. If one of the bisectors of two of the members of the family has equation x+y+2=0. Find the equation of other bisector

If the line y=x+2 does not intersect any member of the family of parabola y^(2)=ax,(a in R^(+)) at two distinct point,then maximum value of latus rectum of parabola is:

If the family of lines lambda x+3y-6=0(lambda is variable) intersect the lines x-2y+3=0 and x-y+1=0 in P and Q,then locus of the middle point of PQ is

Consider a family of lines (4a+3)x-(a+1)y-(2a+1)=0 where a in R a member of this family with positive gradient making an angle of 45 with the line 3x-4y=2 , is

Consider a family of lines (4a+3)x-(a+1)y-(2a+1)=0 where a in R a member of this family with positive gradient making an angle of 45with the line 3x-4y=2, is

Consider the family of lines 5x+3y-2 + lambda (3x-y-4)=0 and x-y+1 + mu (2x - y - 2) = 0 Equation of straight line that belong to both families is ax+by-7=0 then a+b is

Consider the family of lines (x+y-1)+lambda(2x+3y-5)=0 and (3x+2y-4)+ mu(x+2y-6)=0 , equation of a straight line that belongs to both the families is