Home
Class 12
MATHS
Locus of the point of intersection of li...

Locus of the point of intersection of lines `x cosalpha + y sin alpha = a` and `x sin alpha - y cos alpha =b (alpha in R )` is

A

`2(x^(2)+y^(2))= a^(2) + b^(2)`

B

`x^(2) - y^(2) = a^(2 - b^(2)`

C

`x^(2)+y^(2)=a^(2)+b^(2)`

D

`x^(2) - y^(2) = a^(2) +b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 4|15 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 5|16 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|18 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

The point of intersection of lines is (alpha, beta) , then the equation whose roots are alpha, beta , is

Knowledge Check

  • If A = [(cos alpha , - sin alpha ),( sin alpha , cos alpha )] and A + A' = I then value of alpha is

    A
    `(pi)/(6)`
    B
    `(pi)/(3)`
    C
    `pi`
    D
    `(3 pi)/(2)`

    • Similar Questions

    Explore conceptually related problems

    The lines x cos alpha + y sin alpha = P_1 and x cos beta + y sin beta = P_2 will be perpendicular, if :

    Find the inclination to the x-axis of the lines : x cos alpha+y sin alpha=p .

    If sin (3alpha) /cos(2alpha) < 0 If alpha lies in

    Using vectors prove that sin(alpha - beta) = sin alpha cos beta- cos alpha sin beta .

    Find A^2 if A = [(cos alpha, sinalpha),(-sin alpha, cos alpha)]

    Find the intercepts on the axes made by the straight lines : x cos alpha+y sin alpha=sin2 alpha .

    If A = [(cos alpha , - sin alpha ),( sin alpha , cos alpha )] and A a ' = I, then value of alpha is

    Home
    Profile