Fill in the blanks with the help of options given
I._ of a circle subtend equal angles at the center
II. The length of tangents drawn from an external point to a circle are_
III. If PAB is a secant to a circle, intersecting the circle at A and B and PT is a tangent segment, then $P T^{2}$ =_.
IV. If two tangents are drawn from an external point, then they subtend _ at the center.
Options:(i)Equal angles (ii)equal (iii) dissimilar (iv)similar (v) $P A \times P B$ (vi)PA+PB (vii)equal chords

(I) vii (II) ii (III) v (IV) i

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(I) ii (II) i (III) vi (IV) iv

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(I) ii (II) vii (III) v (IV )i

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(I) iii (II) vii (III) v (IV) i

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Solution

The correct option is A
(I) vii (II) ii (III) v (IV) i

I. Equal chords of a circle subtend equal angles at the center
II. The length of tangents drawn from an external point to a circle are equal
III. If PAB is a secant to a circle, intersecting the circle at A and B and PT is a tangent segment, then $P T^{2}$ = $P A \times P B$
IV. If two tangents are drawn from an external point, then they subtend equal angles at the center.

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