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Mixed Worksheet for Circles Class 10

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Sample questions

1. Question 1 [1 mark]
CBSE Board Exam 2026
In the given figure, PT is a tangent to the circle with centre O and radius r . If \(\angle \mathrm{POT}=45^{\circ}\), then the length of OP is :
Question image
(A)
\(\mathrm{r} \sqrt{2}\)
(B)
\(\sqrt{2 \mathrm{r}}\)
(C)
\(2 \mathbf{r}\)
(D)
\(r^2\)
2. Question 2 [3 marks]
CBSE Board Exam 2026
Two tangents PA and PB are drawn to a circle with centre O from an external point P . Prove that \(\angle \mathrm{APB}=2 \angle \mathrm{OAB}\).
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About this Mixed Worksheet

This mixed worksheet is designed for Class 10 Maths practice from Circles Class 10. It uses the question types selected for this worksheet and keeps the preview representative of the complete set.

Solve the questions first, then use the separate answer key to check the method and identify concepts that need revision. For more practice, continue with the chapter quiz or another worksheet below.

Frequently asked questions

How many questions are in this mixed worksheet?

The complete worksheet contains 6 questions. This page shows a fixed preview of 2 questions.

Does the worksheet include answers?

Yes. The complete download includes a questions PDF and a separate answer key PDF.

Do the sample questions change when the page is refreshed?

No. The preview is fixed and is the same for every visitor. The downloaded worksheet is generated separately.

How should I use this mixed worksheet?

Attempt the questions without the answer key, check each solution afterwards, and revise the linked chapter concepts before trying another worksheet or quiz.