Home
Class 10
MATHS
Eliminate theta from the following equat...

Eliminate `theta` from the following equations: `x sin alpha + ycosalpha = p and x cos alpha-y sin alpha = q`

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)=p^(2)+q^(2)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Essay type Questions|2 Videos
  • TRIGONOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 1|30 Videos
  • TRIGONOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Very Short Answer Type questions|30 Videos
  • TAXATION

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|10 Videos

Similar Questions

Explore conceptually related problems

If x=a sin alpha+b cos alpha and y=a cos alpha-b sin alpha then remove alpha

Eliminate theta from the following equation: x cos theta-y sin theta=a,x sin theta+y cos theta=b

If p&q are lengths of perpendicular from the origin x sin alpha+y cos alpha=a sin alpha cos alpha and x cos alpha-y sin alpha=a cos2 alpha, then 4p^(2)+q^(2)

Let lambda and alpha be real. Then the numbers of intergral values lambda for which the system of linear equations lambdax +(sin alpha) y+ (cos alpha) z=0 x + (cos alpha) y+ (sin alpha) z=0 -x+(sin alpha) y -(cos alpha) z=0 has non-trivial solutions is

If tan alpha+sin alpha=p and tan alpha-sin alpha=q tehn p^2-q^2=

Eliminate alpha , if x = r cos alpha , y = r sin alpha .

The locus of the intersection point of x cos alpha+y sin alpha=a and x sin alpha-y cos alpha=b is

Eliminate alpha between the equations : ("sin"^(2)alpha)/(cosalpha)=a^(3) and (cos^(2)alpha)/("sin"alpha)=b^(3)

Find the length of perpendicular from the point (a cos alpha, a sin alpha) to the line x cos alpha+y sin alpha=p .

The value of alpha for which the system of linear equations: x+(sin alpha)y+(cos alpha)z=0,x+(cos alpha)y+(sin alpha)z=0,-x+(sin alpha)y+(-cos alpha)z=0 has a non - trivial solution could be