Home
Class 11
MATHS
Let PQR be a right-angled isosceles tria...

Let PQR be a right-angled isosceles triangle, right angled at P(2, 1). If the equation of the line QR is 2x + y=3, then the equation representing the pair of lines PQ and PR is

A

`3x^2 - 3y^2 + xy + 20x + 10y + 25 = 0`

B

`3x^2 - 3y^2 + 8xy - 20x - 10y + 25 = 0`

C

`3x^2 - 3y^2 + 8xy + 10x + 15y + 20 = 0`

D

`3x^2 - 3y^2 -8xy - 15y-20 = 0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The line 2x-y=1 bisects angle between two lines. If equation of one line is y = x, then the equation of the other line is :

Find the equation of the lines through (3,2) which makes an angle 45^@ with the line x - 2y = 3

Find the equation of the right bisector of the line segment joining the points (3,4)and (-1,2)

The hypotenuse of a right angled triangle has its ends at the points (1,3) and (-4,1). Find the equation of the legs (perpendicular sides) of the triangle.

Obtain the equation of the family of straight lines parallel to the line y=2x.

Find the equation of the line parallel to the line 3x-4y+2=0 and passing through the point (-2,3).

The vertices of triangle PQR are P(2,1), Q(-2,3) and R(4,5) . Find equation of the median through the vertex R .

Consider the line 4x-3y+12=0 Find the equation of the line passing through the point (1,2) and parallel to the given line.