NCERT Solutions for Class 10 विज्ञान Chapter 11 Constructions

Constructions Here is the CBSE विज्ञान Chapter 11 for Class 10 students. Summary and detailed explanation of the lesson, including the definitions of difficult words. All of the exercises and questions and answers from the lesson's back end have been completed. NCERT Solutions for Class 10 विज्ञान Constructions Chapter 11 NCERT Solutions for Class 10 विज्ञान Constructions Chapter 11 The following is a summary in Hindi and English for the academic year 2025-26. You can save these solutions to your computer or use the Class 10 विज्ञान.

Question 1

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How many tangents can a circle have?

Solution

Infinite, as there are infinite number of points on the circumference but from a point on the circumference It can have only one tangent.

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NCERT Solutions for Class 10 विज्ञान Chapter 11 Constructions

How many tangents can a circle have?

A tangent to a circle intersects it in ___________ point(s).

A line intersecting a circle in two points is called a ____________.

A circle many have ______ parallel tangents.

The common point of a tangent and the circle is called ____________.

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :
(a) 12 cm (b) 13 cm

(c) 8.5 cm (d) $square root of 119 space cm$

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is
(A) 7 cm (B) 12 cm
(C) 15 cm (D) 24.5 cm.

In Fig. 10.11, if TP and TQ are the two tangents to a circle with centre O so that ∠ POQ = 110°, then ∠ PTQ is equal to
(A) 60° (B) 70°
(C) 80° (D) 90°

Fig. 10.11

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80°, then ∠ POA is equal to
(A) 50° (B) 60°
(C) 70° (D) 80°.

Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

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NCERT Solutions for Class 10 विज्ञान Chapter 11 Constructions

How many tangents can a circle have?

A tangent to a circle intersects it in ___________ point(s).

A line intersecting a circle in two points is called a ____________.

A circle many have ______ parallel tangents.

The common point of a tangent and the circle is called ____________.

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is : (a) 12 cm (b) 13 cm(c) 8.5 cm (d)

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is(A) 7 cm (B) 12 cm(C) 15 cm (D) 24.5 cm.

In Fig. 10.11, if TP and TQ are the two tangents to a circle with centre O so that ∠ POQ = 110°, then ∠ PTQ is equal to(A) 60° (B) 70°(C) 80° (D) 90°Fig. 10.11

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80°, then ∠ POA is equal to(A) 50° (B) 60°(C) 70° (D) 80°.

Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :
(a) 12 cm (b) 13 cm

(c) 8.5 cm (d) $square root of 119 space cm$

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is
(A) 7 cm (B) 12 cm
(C) 15 cm (D) 24.5 cm.

In Fig. 10.11, if TP and TQ are the two tangents to a circle with centre O so that ∠ POQ = 110°, then ∠ PTQ is equal to
(A) 60° (B) 70°
(C) 80° (D) 90°

Fig. 10.11

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80°, then ∠ POA is equal to
(A) 50° (B) 60°
(C) 70° (D) 80°.