The value k for which 4x^2+8x y+k y^2=9 ...

The value `k` for which `4x^2+8x y+k y^2=9` is the equation of a pair of straight lines is__________

A

0

B

4

C

9

D

`-9`

Text Solution

Verified by Experts

The correct Answer is:

B

Topper's Solved these Questions

PAIR OF STRAIGHT LINES
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos
PAIR OF STRAIGHT LINES
OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|3 Videos
MEAN VALUE THEOREMS
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|28 Videos
PARABOLA
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Consider the equation of a pair of straight lines as lambdaxy-8x+9y-12=0

The value of k for which the equation 2x^2+5y^2-2kxy+4x+6y=0 represent the pair of straight lines is

If x^(2)-kxy+y^(2)+2y+2=0 denotes a pair of straight lines then k =

The value of k such that 3x^(2)-11xy+10y^(2)-7x+13y+k=0 may represent a pair of straight lines , is

Find the value of lambdaif2x^2+7x y+3y^2+8x+14 y+lambda=0 represent a pair of straight lines.

Find the value of lambda if 2x^2+7x y+3y^2+8x+14 y+lambda=0 represents a pair of straight lines

Find the value of lambda if 2x^2+7x y+3y^2+8x+14 y+lambda=0 represents a pair of straight lines.

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 k for which equation 4x^(2)+8x-k=0 has real and equal roots.

OBJECTIVE RD SHARMA ENGLISH-PAIR OF STRAIGHT LINES-Exercise

The value k for which 4x^2+8x y+k y^2=9 is the equation of a pair of s...
Text Solution
|
The angle between the lines represented by x^(2)-y^(2)=0 is
Text Solution
|
If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y...
Text Solution
|
If one of the lines of ax^(2)+2hxy+by^(2)=0 bisects the angle between ...
Text Solution
|
The point of intersection of the two lines given by 2x^2-5xy+2y^2+3x+3...
Text Solution
|
Find the value of a for which the lines represented by a x^2+5x y+2y^2...
Text Solution
|
The equation of the diagonal of the square formed by the pairs of line...
Text Solution
|
Which of the following pair of straight lines intersect at right angle...
Text Solution
|
The equation of the lines parallel to the line common to the pair of l...
Text Solution
|
Equation x^(2) +k(1)y^(2) +2k(2)y = a^(2) represents a pair of perpend...
Text Solution
|
If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of pa...
Text Solution
|
If the slope of one of the lines given by ax^(2)-6xy+y^(2)=0 is twice ...
Text Solution
|
If the equation 12x^(2)+7xy-py^(2)-18x+qy+6=0 represents a pair of pe...
Text Solution
|
If theta is the angle between the lines given by the equation 6x^2+5x ...
Text Solution
|
If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about th...
Text Solution
|
If the lines represented by x^(2)-2pxy-y^(2)=0 are rotated about the o...
Text Solution
|
The difference of the tangents of the angles which the lines x^(2)(sec...
Text Solution
|
If the two pairs of line x^2 -2mxy -y^2=0 and x^2 - 2nxy -y^2 = 0 are ...
Text Solution
|
Consider the equation of a pair of straight lines as lambda^(2)-10xy+1...
Text Solution
|
The equation y^(2)-x^(2)+2x-1=0, represents
Text Solution
|