Class 10 Exam  >  Class 10 Tests  >  Test: Properties of Tangents - Class 10 MCQ

Test: Properties of Tangents - Class 10 MCQ


Test Description

15 Questions MCQ Test - Test: Properties of Tangents

Test: Properties of Tangents for Class 10 2024 is part of Class 10 preparation. The Test: Properties of Tangents questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Properties of Tangents MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Properties of Tangents below.
Solutions of Test: Properties of Tangents questions in English are available as part of our course for Class 10 & Test: Properties of Tangents solutions in Hindi for Class 10 course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt Test: Properties of Tangents | 15 questions in 15 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study for Class 10 Exam | Download free PDF with solutions
Test: Properties of Tangents - Question 1

PT is a tangent from an external point P and PAB is a secant. If PT = 6cm and PA = 3cm, then the length of PB is __​

Detailed Solution for Test: Properties of Tangents - Question 1

We know that:
PT2 = PA X PB
therfore PB = PT2/PA = 36/3 = 12

Test: Properties of Tangents - Question 2

A circle is inscribed in a ΔABC having AB = 10cm, BC = 12cm and CA = 8cm and touching these sides at D, E, F respectively. The lengths of AD, BE and CF will be

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Properties of Tangents - Question 3

In the given figure, AR = 5cm, BR = 4cm and AC = 11cm. What is the length of BC?

Detailed Solution for Test: Properties of Tangents - Question 3

Since the sides of the triangles are tangent to the circle. BR = BP,AR = AQ and CP = CQ
So, BP = 4cm and AQ = 5
CQ = 11-5 = 6 = CP
BC = BP + CP = 4 + 6 = 10 cm
 

Test: Properties of Tangents - Question 4

In given figure, the length of BC is​

Test: Properties of Tangents - Question 5

Segment joining the points of contact of two parallel tangents

Test: Properties of Tangents - Question 6

In a circle with centre O, AB and CD are two diameters perpendicular to each other. The length of chord AC is

Test: Properties of Tangents - Question 7

If in the given figure radius of smaller and larger circles be 4 and 5 cm. Find the length of chord AB.

Test: Properties of Tangents - Question 8

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 :

Test: Properties of Tangents - Question 9

The maximum number of common tangents that can be drawn to two circles intersecting at two distinct point is

Test: Properties of Tangents - Question 10

In a circle of radius 7cm, tangent PT is drawn from point P such that PT = 24cm. If O is the centre of the circle, then the length of OP is:​

Test: Properties of Tangents - Question 11

In the figure, PQ is a tangent at a point R of the circle with centre O. If ∠TRQ = 30°.The measure of ∠PRS is

Test: Properties of Tangents - Question 12

In the given figure, length of BC is:

Test: Properties of Tangents - Question 13

ABC is a right triangle right angled at B such that BC = 6 cm and AB = 8 cm. The radius of its incircle is

Detailed Solution for Test: Properties of Tangents - Question 13

By pythagoras theorem ,
H2 = P2 + B2
 =36 + 64=100
H=10
We have a square BPOQ so all sides are equal.
Since tangents from a point are equal in length
Let AP = AR = x
BP=BQ=y
RC = QC = z
x + y = 8
x = 8 - y
x + z = 10 ⇒ 8 - y + z = 10 ⇒ z = 2 + y
y + z = 6 ⇒ y + 2 + y = 6 ⇒ y = 2
x = 6, z= 4
Since BP = OQ = y = 2

Test: Properties of Tangents - Question 14

Quadrilateral ABCD circumscribes a circle as shown in figure. The side of the quadrilateral which is equal to AP + BR is:

Test: Properties of Tangents - Question 15

If the angle between two radii of a circle is 100°, then angle between the tangents at the ends of those radii is:​

Information about Test: Properties of Tangents Page
In this test you can find the Exam questions for Test: Properties of Tangents solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Properties of Tangents, EduRev gives you an ample number of Online tests for practice
Download as PDF