Find the locus of the point of intersect...

Find the locus of the point of intersection of lines `xcosalpha+ysinalpha=a` and `xsinalpha-ycosalpha=b(alpha` is a variable).

Text Solution

AI Generated Solution

Topper's Solved these Questions

COMPLEX NUMBERS
CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|9 Videos
CONTINUITY AND DIFFERENTIABILITY
CENGAGE ENGLISH|Exercise Comprehension Type|2 Videos

Similar Questions

Explore conceptually related problems

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

Prove that for all values of theta , the locus of the point of intersection of the lines xcostheta+ysintheta=a and xsintheta-ycostheta=b is a circle.

The locus of the points of intersection of the lines x cos theta+y sin theta=a and x sin theta-y cos theta=b , ( theta= variable) is :

Find the locus of the mid-point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes.

Find the locus of the point of intersection of the lines x+y=3+lamda and 5x-y=7+3lamda , where lamda is a variable.

If m is a variable the locus of the point of intersection of the lines x/3-y/2=m and x/3+y/2=1/m is

Find the locus of the point of intersection of the lines x=a/(m^(2)) and y=(2a)/(m) , where m is a parameter.

The locus of point of intersection of tangents to y^(2) = 4ax which includes an angle alpha is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions

A variable line passing through point P(2,1) meets the axes at A and...
Text Solution
|
A point moves such that the area of the triangle formed by it with ...
Text Solution
|
Find the locus of the point of intersection of lines xcosalpha+ysin...
Text Solution
|
Find the locus of the middle point of the portion of the line xcosa...
Text Solution
|
Q is a variable point whose locus is 2x+3y+4=0; corresponding to a ...
Text Solution
|
Convert y=10 into a polar equation.
Text Solution
|
Convert the following Cartesian coordinates to the corresponding po...
Text Solution
|
Find the minimum distance of any point on the line 3x+4y-10=0 from ...
Text Solution
|
If the difference between the roots of the equation x^2+""a x""+""1...
Text Solution
|
Express the polar equation r=2costheta in rectangular coordinates.
Text Solution
|
Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...
Text Solution
|
Convert rsintheta=rcostheta+4 into its equivalent Cartesian equatio...
Text Solution
|
Convert r=cos e ctheta e^(rcostheta) into its equivalent Cartesian e...
Text Solution
|
A particle just clears a wall of height b at distance a and strikes...
Text Solution
|
Convert the following polar coordinates to its equivalent Cartesian...
Text Solution
|
If (2, 3, 5) is one end of a diameter of the sphere x^2+""y^2+""z^2...
Text Solution
|
Convert r=4tanthetasectheta into its equivalent Cartesian equation.
Text Solution
|
Given the equation 4x^2+2sqrt(3)x y+2y^2=1 . Through what angle should...
Text Solution
|
The equation of a curve referred to a given system of axes is 3x^2+...
Text Solution
|
Determine x so that the line passing through (3,4) and (x ,5) makes ...
Text Solution
|