Home
Class 12
MATHS
If theta is a variable and a,b are cons...

If `theta` is a variable and a,b are constants then find the locus of the point of intersection of the lines `xsintheta+ycostheta=aandxcostheta-ysintheta=b`.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)=a^(2)+b^(2)`.
Promotional Banner

Topper's Solved these Questions

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 (MCQ)|30 Videos
  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 (Very Short Type Questions )|41 Videos
  • RELATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion -Reason Type )|2 Videos
  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

Similar Questions

Explore conceptually related problems

If theta is a variable and a is contant , then find the locus of the point of intersection of the lines xcostheta+ysintheta=aand xsintheta-ycostheta=a .

Show that the locus of the pt of intersection of the st.lines xcostheta+ysintheta=a and xsintheta-ycostheta=b is a circle.

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.

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

Whatever be the values of theta , prove that the locus of a point of intersection of the lines x cos theta + y sin theta = a and x sin theta - y cos theta = b is a circle.

The point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 lies on

For the variable t, the locus of the points of intersection of lines 3tx-2y+6t=0 and 3x+2ty-6=0 is

For the variable t, the locus of the points of intersection of lines x-2y=t and x+2y=(1)/(t) is

Whatever be the values of theta , prove that the locus of the point of intersection of the straight lines y = x tan theta and x sin^(3) theta + y cos theta = a sin^(3) theta cos theta is a circle. Find the equation of the circle.

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