Home
Class 11
MATHS
The locus of the orthocentre of the tria...

The locus of the orthocentre of the triangle formed by the lines `(1+p)x-py+p(1+p)=0`
`(1+q)x-qy+q(1+q)=0` and `y=0` where `p!=q` is

A

A hyperbola

B

A parabola

C

An ellipse

D

A straight line

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The locus of the orthocentre of the triangle formed by the lines (1+p)x-py+p(1+p)=0.,(1+q)x-qy+q(1+q)=0 andy =0 wherept (a) a hyperbola (c) an ellipse (b) a parabola (d) a straight line

Show that the reflection of the line px+qy+r=0 in the line x+y+1 =0 is the line qx+py+(p+q-r)=0, where p!= -q .

The point of injtersection of the line x/p+y/q=1 and x/q+y/p=1 lies on the line

The lines (p-q)x+(q-r)y+(r-p)=0(q-r)x+(r-p)y+(p-q)=0,(x-p)x+(p-q)y+(q-r)=

The value of 1.999 ….. In the form of p/q , where p and q are integers and q ne 0 , is

If the lines (p-q)x^2+2(p+q)xy+(q-p)y^2=0 are mutually perpendicular , then

Three lines px+qy+r=0 , qx+ry+p=0 and rx+py+q=0 are concurrent , if

If p and q are the roots of the equation x^2-p x+q=0 , then p=1,\ q=-2 (b) b=0,\ q=1 (c) p=-2,\ q=0 (d) p=-2,\ q=1