Home
Class 12
MATHS
If x^2+alphay^2+2betay=a^2 represents a ...

If `x^2+alphay^2+2betay=a^2` represents a pair of perpendicular straight lines , then

A

`alpha=1,beta=a`

B

`alpha=1,beta=-a`

C

`alpha=-1,beta=-a`

D

`alpha=-1,beta=a`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Similar Questions

Explore conceptually related problems

Statement I . The equation 2x^2-3xy-2y^2+5x-5y+3=0 represents a pair of perpendicular straight lines. Statement II A pair of lines given by ax^2+2hxy+by^2+2gx+2fy+c=0 are perpendicular if a+b=0

If alpha,betagt0and alphaltbeta and ax^2+4gammaxy+betay^2+4p(x+y+1)=0 represents a pair of straight lines , then alpha≤ p≤ beta ,p≤ alpha or p ≥ beta

If the equation ax^2+by^2+cx+cy=0 represents a pair of straight lines , then

The equation 3ax^2+9xy+(a^2-2)y^2=0 represents two perpendicular straight lines for

Prove that the equation 8x^2+8xy+2y^2+26x+13y+15=0 represents a pair of parallel straight lines . Also find the perpendicular distance between them .

if lambda x^2+10xy+3y^2-15x-21y+18=0 represents a pair of straight lines. Then , the value of lambda is

The equation 3x^2+2hxy+3y^2=0 represents a pair of straight lines passing through the origin . The two lines are

if the equation 12x^2+7xy-py^2-18x+qy+6=0 represents two perpendicular lines , then the value of p and q are

For what value of lambda does the equation 12x^2-10xy+2y^2+11x-5y+lambda=0 represent a pair of straight lines ? Find their equations and the angle between them.

The equation of second degree x^2+2sqrt2x+2y^2+4x+4sqrt2y+1=0 represents a pair of straight lines.The distance between them is a. 4 b. 4/sqrt3 c. 2 d. 2sqrt3