Home
Class 12
MATHS
A rectangle A B C D has its side A B par...

A rectangle `A B C D` has its side `A B` parallel to line `y=x ,` and vertices `A ,Ba n dD` lie on `y=1,x=2,` and `x=-2,` respectively. The locus of vertex `C` is `x=5` (b) `x-y=5` `y=5` (d) `x+y=5`

A

x=5

B

`x-y=5`

C

y=5

D

`x+y=5`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Example|3 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise JEE Tyep Solved Examples : (Paragraph Based Questions)|13 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

A rectangle PQRS has its side PQ parallel to the line y= mx and vertices P,Q, and S on the lines y=a, x=b, and x=-b, respectively. Find the locus of the vertex R.

A rectangle has opposite vertices at the points (1,2) and (5, 5). If the other vertices lie on the line x=3, find the equation of the sides of the rectangle.

Two sides of a square lie on the lines x+y-1=0 and x+y+2 then its area is:

The three sides AB, BC, CA of a triangle are 5x - 3y +2 = 0,x-3y-2=0 and x+y-6=0 respectively. Find equation of the altitude through the vertex A.

If a,b,c are in G.P. and x,y are the arithmetic means of a,b and b,c respectively. Then prove that a/x+c/y=2 and 1/x+1/y=2/b .

A ray of light travels along a line y=4 and strikes the surface of curves y^2=4(x+y)dot Then the equations of the line along which of reflected ray travels is x=0 (b) x=2 (c) x+y (d) 2x+y=4

Statement 1: The internal angle bisector of angle C of a triangle A B C with sides A B ,A C , and B C as y=0,3x+2y=0, and 2x+3y+6=0 , respectively, is 5x+5y+6=0 Statement 2: The image of point A with respect to 5x+5y+6=0 lies on the side B C of the triangle.

A straight line parallel to the line 2x-y+5 =0 is also a tangent to the curve y^2=4x+5 . Then the point of contact is

Prove that st. line 5x -2y - 1 = 0 is mid-parailel to the st. lines : 5x - 2y -9 =0 and 5x - 2y + 7 = 0.

a, b, c are in G.P. and x and y are the A.M.’s between a, b and b, c respectively. Show that : a/x+c/y=2 .