The locus of the points equidistant from...

The locus of the points equidistant from the pair of line `x^2cos^2theta-2xysin^2theta-y^2sin^2theta=0` is

A

`x^2-y^2+xycosec^2theta=0`

B

`x^2+y^2+xycosec^2theta=0`

C

`x^2-y^2+2xycosec^2theta=0`

D

`x^2+y^2+2xycosec^2theta=0`

Text Solution

Verified by Experts

The correct Answer is:

A

Promotional Banner

Promotional Banner

Topper's Solved these Questions

PAIR OF STRAIGHT LINES
AAKASH SERIES|Exercise EXAMPLE|7 Videos
PAIR OF STRAIGHT LINES
AAKASH SERIES|Exercise ADVANCED ANALYTICAL SOLVED EXAMPLES|10 Videos
PAIR OF STRAIGHT LINES
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Homogeneous pair of lines) (Straight Objective Type Questions)|64 Videos
MULTIPLE PRODUCT OF VECTORS
AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos
PERIODICITY AND EXTEME VALUES
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

Similar Questions

Explore conceptually related problems

cos^2theta+sin^2theta is

sqrt(cosec^2theta-sin^2theta-cos^2theta) = …………….

Angle between the lines x^(2)[cos^(2) theta-1]-xy sin^(2) theta+y^(2) sin^(2) theta= theta is

The locus of a point that is equidistant from the lines x+y-2sqrt2=0 and x+y-sqrt2=0 is

The difference of the slopes of the lines represented by x^2(tan^2theta+cos^2theta)+2xytantheta+y^2sin^2theta=0 is

Show that the locus of the point of inter section of the lines x cos theta +y sin theta =a, x sin theta -y cos theta = b, theta is a parameter is a circle.

The locus of the point of intersection of the lines x sin theta+(1-cos theta)y=a sin theta and x sin theta -(1+cos theta )y+a sin theta =0 is

The number of solution of the pair of equations 2sin^(2)theta-cos 2 theta=0, 2 cos^(2)theta-3sin theta=0 in the interval [0,2pi] is

The difference of the slopes of the lines x^(2)(sec^(2) theta- sin^(2) theta)-(2 tan theta)xy+y^(2) sin^(2) theta=0

AAKASH SERIES-PAIR OF STRAIGHT LINES-PRACTICE SHEET (EXERCISE-1 Homogeneous pair of line) (LEVEL-I Straight Objective Type Questions)

If the pairs of straight lines x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)...
Text Solution
|
The pair of lines a^(2)x^(2)+2h(a+b)xy+b^(2)y^(2)=0 and ax^(2)+2hxy+by...
Text Solution
|
The locus of the points equidistant from the pair of line x^2cos^2thet...
Text Solution
|
The straight lines represented by the equation 135x^2+136xy+33y^2=0 ar...
Text Solution
|
The combined equation of the lines l(1), l(2) is 2x^(2)+6xy+y^(2)=0 a...
Text Solution
|
If the lines x^(2)+(2+h)xy-4y^(2)=0 are equally inclincd to the coordi...
Text Solution
|
The area of the triangle formed by two rays whose combined equation is...
Text Solution
|
If the area of the triangle formed by the pair of lines 8x^(2)-6xy+y^(...
Text Solution
|
The area of the triangle formed by pair of line (ax+by)^2-3(bx-ay)^2=0...
Text Solution
|
The lines represented by the equation x^(2)-y^(2)-x+3y-2=0 are
Text Solution
|
If the equation 2x^2+5xy+3y^2+6x+7y+=0 represents a pair of lines, the...
Text Solution
|
If the angle alpha is acut, then the acute angle between the pair of s...
Text Solution
|
The value of lambda " such that " lambdax^2-10xy+12y^2+5x-16y-3=0 repr...
Text Solution
|
If the pair of lines given by (x^(2)+y^(2))cos^(2) theta=(x cos theta+...
Text Solution
|
The distance from a point (alpha,beta) to a pair of lines passing thro...
Text Solution
|
If x^(2)+4xy+4y^(2)+4x+cy+3 can be written as the product of two linea...
Text Solution
|
The equation x^2-5xy+py^2+3x-8y+2=0 represents a pair of straight line...
Text Solution
|
The angle between the pair of lines whose equation is 4x^2+10xy+my2+5...
Text Solution
|
The condition that one of the pair of lines ax^2+2hxy+by^2=0 be conici...
Text Solution
|
The equation of a line which is parallel to the line common to the pai...
Text Solution
|