Home
Class 12
MATHS
The point of intersection of the lines x...

The point of intersection of the lines `x/a+y/b=1` and `x/b+y/a=1` lies on

A

`x-y =0`

B

`(x+y)(a+b)=2ab`

C

`(lx+my)(a+b)=2ab`

D

`(lx-my)(a+b)=(l-m)ab`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 3 : (Paragraph Based Questions)|3 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 2 : (More than One Correct Option Correct Type Questions)|1 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

The point of intersection of the lines x/a + y/b = 1 and x/b + y/a = 1 does not lie on the line

A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1 and meets the coordinate axes at A and Bdot Show that the locus of the midpoint of A B is the curve 2x y(a+b)=a b(x+y)

The locus of point of intersection of the lines x/a-y/b=m and x/a+y/b=1/m (i) a circle (ii) an ellipse (iii) a hyperbola (iv) a parabola

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is (a) 2 (b) 0 (c) 4 (d) 1

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x -7y + 5 = 0 and 3x + y = 0 .

Find the equation of a straight line passing through the point of intersection of the lines : 3x +y-9 =0 and 4x + 3y-7=0 and perpendicular to the line 5x -4y + 1 =0.

Find the point of intersection of the st. lines x - 4y = 3 and 6x - y= 11.

Find the point of intersection of the straight lines : x/3-y/4=0, x/2+y/3 =1 .

Find the equation of the line passing through the point of intersection of the lines x+5y+7=0 and 3x+2y-5=0 (b) perpendicular to the line 7x + 2y - 5 = 0

Find the distance of the point (- 1, - 5, - 10) from the point of intersection of the line x-2/3=y+1/4=z-2/12 and the plane x-y+z=5