Exams › SSC CGL (Prelims) › Maths

If $p\sin A-\cos A=1$, then $p^2-(1+p^2)\cos A$ equals:

1. 1
2. -1
3. 2
4. 0

Correct answer: 1

Solution

From $p\sin A-\cos A=1$, we can derive a relation between $p$ and $\cos A$ using the identity $\sin^2 A+\cos^2 A=1$. Substituting and simplifying the target expression reduces it to a constant. The value comes out to 1.

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