Home
Class 12
MATHS
Prove that the distance of the point (a ...

Prove that the distance of the point `(a cos alpha, a sin alpha)` from the origin is independent of `alpha`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise SINGLE OPTION CORRECT TYPE QUESTIONS|1 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

Similar Questions

Explore conceptually related problems

Distance of the point (alpha, beta,gamma) from y-axis is

Find the equation of the circle whose centre is (a cos alpha, a sin alpha) and radius is a.

If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha) , then:

Show that cos^(2)theta+cos^(2)(alpha+theta)-2cos alpha cos theta cos (alpha+beta) is independent of theta .

The expression nsin^(2) theta + 2 n cos( theta + alpha ) sin alpha sin theta + cos2(alpha + theta ) is independent of theta , the value of n is

Show that the point (x,y), where : x=a+r cos alpha, y=b+r sin alpha lie on a circle for all values of alpha .

Prove that the area of the parallelogram formed by the lines x cos alpha+y sin alpha=p ,x cos alpha+y sin alpha=q , x cos beta+y sin beta=r and x cos beta+y sin beta=s is ±(p−q)(r−s)cosec(α−β).

Write the value of |[[cos alpha,-sin alpha],[sin alpha,cos alpha]] from the following :

Prove by vectors that : cos (alpha + beta) = cos alpha cos beta- sin alpha sin beta .

Prove by vectors that : cos (alpha - beta) = cos alpha cos beta+ sin alpha sin beta .