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If P is a poi...

Question

If P is a point on a circle with centre C, then the line drawn through P and perpendicular to CP is the tangent to the circle at the point P.

A

True

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B

False

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C

Either

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D

Neither

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Solution

The correct option is A True
CP, the radius through point of contact P and tangent at P are perpendicular to each other.

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Similar questions

Q. Tangents to the circle with centre O, at the point A and B intersect at P, a circle is drawn with centre P passing through A, prove that the tangent at A to the circle with centre P passes through O.

Q. Which of the following statements is true?

(a) The tangents drawn at the end points of a chord of a circle are parallel.
(b) From a point P on the exterior of a circle, only two secants can be drawn through P to the circle.
(c) From a point P in the plane of a circle, two tangents can be drawn to the circle.
(d) The perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle.

Q. Which of the following statements is not true?
(a) If a point P lies inside a circle, no tangent can be drawn to the circle passing through P.
(b) If a point P lies on a circle, then one and only one tangent can be drawn to the circle at P.
(c) If a point P lies outside a circle, then only two tangents can be drawn to the circle from P.
(d) A circle can have more than two parallel tangents parallel to a given line.

Q. In the fig.,

C P

C Q

are tangents from

C

to the circle with centre

O

R

is any point on the circle. If

A B

is a tangent to the circle at

R

C A + A R = C B + B R .

Which of the following stateements is not true ?

(a) If a point P lies inside a circle, no tangent can be drawn to the circle, passing through P.

(b) If a point P lies on the circle, then one and only tangent can eb drawn to the circle at P.

(c) If a point P lies outside the circle, then only two tangents can be drawn to the circle from P

(d) A circle can have more than two parallel tangents, parallel to a given line.

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