Home
Class 12
MATHS
x+y=7 and a x^2+2h x y+a y^2=0,(a!=0) , ...

`x+y=7` and `a x^2+2h x y+a y^2=0,(a!=0)` , are three real distinct lines forming a triangle. Then the triangle is (a) isosceles (b) scalene (c) equilateral (d) right angled

A

isosceles

B

scalene

C

equilateral

D

right angled triangle

Text Solution

Verified by Experts

The correct Answer is:
A

`ax^(2) +2hxy +ay^(2) =0` is symmetrical about `y =x`
Promotional Banner

Similar Questions

Explore conceptually related problems

If all the vertices of a triangle have integral coordinates, then the triangle may be (a) right-angled (b) equilateral (c) isosceles (d) none of these

If in a triangle (1-(r_1)/(r_2))(1-(r_1)/(r_3))=2 then the triangle is right angled (b) isosceles equilateral (d) none of these

In triangle A B C ,R(b+c)=asqrt(b c),w h e r eR is the circumradius of the triangle. Then the triangle is a)isosceles but not right b)right but not isosceles c)right isosceles d)equilateral

If sinA=sin^2Ba n d2cos^2A=3cos^2B then the triangle A B C is right angled (b) obtuse angled (c)isosceles (d) equilateral

The three points (-2,2)(9,-2),a n d(-4,-3) are the vertices of (a) an isosceles triangle (b) an equilateral triangle (c) a right-angled triangle (d) none of these

If the equation 2x^2+k x y+2y^2=0 represents a pair of real and distinct lines, then find the values of kdot

The orthocenter of the triangle formed by the lines xy=0 and x+y=1 is

Show that the straight line x^2-4xy+y^2=0 and x + y = 3 form an equilateral triangle.

Show that the common tangents to the parabola y^2=4x and the circle x^2+y^2+2x=0 form an equilateral triangle.