Q) If x = h + a cos θ, y = k + b sin θ, then prove that :

(Q 26 A – 30/1/3 – CBSE 2026 Question Paper)

Ans: 

Step 1: We are given: x = h + a cos θ

∴ x – h = a cos θ …………… (i)

Also, we are given, y = k + b sin θ

∴ y – k = b sin θ ……………..(ii)

Step 2: Let’s start from LHS:

LHS =

Substituting values from eqaution (i) and (ii):

LHS =

=

=

= cos² θ + sin ² θ

Step 2: Since cos² θ + sin ² θ = 1        (by trigonometric identity)

∴ LHS = 1 = RHS

Hence Proved!

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