Tangent to Circles CBSE Class 10 MCQ Questions with Answers Keys

Hi students, Welcome to AMBiPi (Amans Maths Blogs). In this article, you will get Tangent to Circles CBSE Class 10 MCQ Questions with Answer Keys. You can download this PDF and save it in your mobile device or laptop etc.

Circles CBSE Class 10 MCQ Question No 41: 

A, B, C, D are four distinct points on a circle whose center is O. If ∠OBD – ∠CDB = ∠CBD – ∠ODB, then find the measure of the angle A.

Option A : 45^o

Option B : 60^o

Option C : 120^o

Option D : 135^o

Circles CBSE Class 10 MCQ Question No 42: 

PQ is a common chord of the two circles. APB is a secant line joining points A and B respectively on the two circles. Two equal tangents AC and BC are drawn. If ∠ACB = 45^o, then find ∠AQB.

Option A : 75^o

Option B : 90^o

Option C : 120^o

Option D : 135^o

Circles CBSE Class 10 MCQ Question No 43:

ABCD is a cyclic quadrilateral. Tangents at A and C intersect at P. If ∠ABC = 100^o, then find ∠APC.

Option A : 10^o

Option B : 20^o

Option C : 30^o

Option D : 40^o

Circles CBSE Class 10 MCQ Question No 44:

In the figure below, YAX is a tangent to the circle with center O. If ∠BAX = 70^o and ∠BAQ = 40^o, then find ∠ABQ.

Option A : 20^o

Option B : 30^o

Option C : 35^o

Option D : 40^o

Circles CBSE Class 10 MCQ Question No 45:

In the figure below, AP = 3 cm, PB = 5 cm, AQ = 2cm and QC = x cm. Find x.

Option A : 6 cm

Option B : 8 cm

Option C : 10 cm

Option D : 12 cm

Circles CBSE Class 10 MCQ Question No 46:

In the figure below, PT is a tangent to the circle with the radius 6 cm. If the distance between the point P to the center O is 10 cm. If PB = 5 cm, then find the length of chord BC.

Option A : 7.8 cm

Option B : 8.2 cm

Option C : 8.4 cm

Option D : 9.3 cm

Circles CBSE Class 10 MCQ Question No 47:

In the figure below, O is the center of the circle. At the point T on the circle tangent UTV is drawn. If ∠VTR = 50^o and triangle PTR is an isosceles triangle such that TP = TR, then find the sum (x + y + z).

Option A : 175 degree

Option B : 208 degree

Option C : 218 degree

Option D : 250 degree

Circles CBSE Class 10 MCQ Question No 48:

In the figure below, O is the center of the circle and if ∠AOD = 106^o, then find ∠BCD.

Option A : 53^o

Option B : 43^o

Option C : 40^o

Option D : 37^o

Circles CBSE Class 10 MCQ Question No 49:

In the figure below, AB is the diameter of the circle and CD is perpendicular to AB. If AB = 10 cm and AE = 2 cm, then find DE.

Option A : 5 cm

Option B : 4 cm

Option C : √20 cm

Option D : √10 cm

Circles CBSE Class 10 MCQ Question No 50:

In the figure below, if ∠BAD = 60^o, ∠ADC = 105^o, then ∠DPC is

Option A : 40^o

Option B : 45^o

Option C : 50^o

Option D : 60^o