Test Details

Circles - NCERT,Constructions - NCERT

Mar 13, 10:00 AM

120 minutes

Mar 14, 10:00 AM

30.0 marks

MCQ

15 questions

Ritesh Kr Jha

M.SC+B.ED

Class Details

Maths

Class 10th

Maths

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Question Text

Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19a49273b230584979914.PNG' /> In the above figure, if TP and TQ are the two tangents to a circle with centre O so that ∠ POQ = 110°, then ∠ PTQ is equal to

Question 2 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b46273b23058497996a.PNG' /> In the above figure, if PQR is the tangent to a circle at Q whose centre is O, AB is a chord parallel to PR and $\angle BQR = 70^{\circ}$, then $\angle AQB$ is equal to

Question 3 :
A line and a circle in the same plane can co-exist in _______ different ways.

Question 4 :
If angle between two radii of a circle is $130^{\circ}$, the angle between the tangents at the ends of the radii is :

Question 5 :
If two tangents inclined at an angle $60^{\circ}$ are drawn to a circle of radius 3 cm, then length of each tangent is equal to

Question 6 :
The common point of a tangent to a circle and the circle is called point of contact.

Question 7 :
The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle.

Question 8 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bd1273b230584979a21.JPG' /> A quadrilateral ABCD is drawn to circumscribe a circle (see the above image) . Which of the following options are true ?

Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bd0273b230584979a20.JPG' /> In the above figure , if TP and TQ are the two tangents to a circle with centre O so that $\angle POQ$ = $110^{\circ}$ , then $\angle PTQ$ is equal to

Question 10 :
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

Question 11 :
To construct a triangle similar to a given ∆ABC with its sides $\frac{8}{5}$ of the corresponding sides of ∆ABC draw a ray BX such that ∠CBX is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is

Question 12 :
Let s denote the semi-perimeter of a triangle ABC in which BC = a, CA = b, AB = c. If a circle touches the sides BC, CA, AB at D, E, F, respectively, Is it TRUE or FALSE that BD = s – b?

Question 13 :
Can we construct as many concentric circles as we want to a given circle?

Question 14 :
Does a diameter AB of a circle bisects all those chords which are parallel to the tangent at the point A?

Question 15 :
Draw a right triangle ABC in which BC = 12 cm, AB = 5 cm and ∠B = 90$^{\circ}$. Construct a triangle similar to it and of scale factor $\frac{2}{3}$. Is the new triangle also a right triangle?

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