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Standard X

Mathematics

Tangents from a Given Point

From an exter...

Question

From an external point P, two tangents are drawn that touches the circle at points Q and R. Then triangle PQR is a/an triangle.

scalene

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right-angled

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equilateral

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isosceles

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Solution

The correct option is D isosceles

When two tangents are drawn from an external point to a circle, the lengths of the two tangents are equal.
Hence, PQ = PR.
So, PQR is an isosceles triangle.

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From an external point P, two tangents are drawn that touches the circle at points Q and R. Then triangle PQR is a/an triangle.

The correct option is D isosceles When two tangents are drawn from an external point to a circle, the lengths of the two tangents are equal. Hence, PQ = PR. So, PQR is an isosceles triangle.

The correct option is D isosceles

When two tangents are drawn from an external point to a circle, the lengths of the two tangents are equal.
Hence, PQ = PR.
So, PQR is an isosceles triangle.