Home
Class 12
MATHS
Find the value of lambda if the equation...

Find the value of `lambda` if the equation `9x^2+4y^2+2lambdax y+4x-2y+3=0` represents a parabola.

Text Solution

AI Generated Solution

To find the value of \( \lambda \) such that the equation \[ 9x^2 + 4y^2 + 2\lambda xy + 4x - 2y + 3 = 0 \] represents a parabola, we will use the condition for a conic section to be a parabola. ...
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.26|2 Videos

  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.27|1 Videos

  • PARABOLA

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.24|1 Videos

  • PAIR OF STRAIGHT LINES

    CENGAGE ENGLISH|Exercise Numberical Value Type|5 Videos

  • PERMUTATION AND COMBINATION

    CENGAGE ENGLISH|Exercise Comprehension|8 Videos

Similar Questions

Explore conceptually related problems

The value of lambda for which the equation x^2-y^2 - x - lambda y - 2 = 0 represent a pair of straight line, are

Find the value of lambda for which the equation lambdax^2 + 4xy + y^2 + lambdax + 3y + 2=0 represents a pair of straight line

The equation ax^2+4xy+y^2+ax+3y+2=0 represents a parabola. Find the value of a .

The equation 2y^(2)+3y-4x-3=0 represents a parabola for which

The equation x^(2)y^(2)-9y^(2)-6x^(2)y+54y=0 represents

The second degree equation x^2+4y^2-2x-4y+2=0 represents

Find the value of x and y in given equations x+2y+3=0 and 4x-5y+1=0 .

2x^2 +2y^2 +4 lambda x+lambda =0 represents a circle for

If the equation lambdax^2+ 4xy + y^2 + lambdax + 3y + 2 = 0 represent a parabola then find lambda .

The equation x^(2)+4xy+4y^(2)-3x-6y-4=0 represents a