Home
Class 12
MATHS
The equation 3ax^2+9xy+(a^2-2)y^2=0 repr...

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

A

only one value of a

B

for all values of a

C

for only two values of a

D

for no value of a

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|6 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|9 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 5|10 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|36 Videos

Similar Questions

Explore conceptually related problems

a(x^(2)-y^(2))+xy=0 represents a pair of straight lines for

The equation a^(2)x^(2)+2h(a+b)xy+b^(2)y^(2)=0 and ax^(2)+2hxy+by^(2)=0 represent two pairs of perpendicular straight lines two pairs of parallel straight lines two pairs of straight lines which are equally inclined to each other none of these

The equation x^(2)+k_(1)y^(2)+k_(2)xy=0 represents a pair of perpendicular lines if

The equation 2x^(2)-3xy-py^(2)+x+qy-1=0 represent two mutually perpendicular lines if

The equation x^(3)+ax^(2)y+bxy^(2)+y^(3)=0 represents three straight lines, two of which are perpendicular, then the equation of the third line, is

The equation 2x^2+4xy-py^2+4x+qy+1=0 will represent two mutually perpendicular straight lines , if

If the equation 12x^(2)+7xy-py^(2)-18x+qy+6=0 represents a pair of perpendicular straight lines, then

The equation ax^(2)+3xy-3y^(2)=0 reprougents a pair of perpendicular lines through origin then a equals