Multiple Choice Questions - Set - 5
If ΔABC ~ ΔDEF, AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, find the perimeter of ABC.
(A) 18 cm
(B) 20 cm
(C) 21 cm
(D) 22 cm
Correct Answer – (A)
According to question,
ΔABC ~ ΔDEF,
AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm,
Therefore,
AB/DE = BC/EF = AC/DF
4/6 = BC/9 = AC/12
⇒ 4/6 = BC/9
⇒ BC = 6 cm
And
4/6 = AC/12
⇒ AC = 8 cm
Perimeter = AB + BC + CA
= 4 + 6 + 8
= 18 cm
Question 2 :
Diagonals of a trapezium PQRS intersect each other at the point O, PQ || RS and PQ = 3 RS, Then the ratio of areas of triangles POQ and ROS is:
(A) 1:9
(B) 9:1
(C) 3:1
(D) 1:3
Correct Answer – (B)
Question 3 :
Areas of two similar triangles are 36 cm2 and 100 cm2. If the length of a side of the larger triangle is 20 cm, then the length of the corresponding side of the smaller triangle is:
(A) 12cm
(B) 13cm
(C) 14cm
(D) 15cm
Correct Answer – (A)
Question 4 :
In the figure given below DE || BC. If AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, the value of x is:
(A) 4
(B) 8
(C) 16
(D) 32
Correct Answer – (A)
Question 5 :
In triangle PQR, if PQ = 6 cm, PR = 8 cm, QS = 3 cm, and PS is the bisector of angle QPR, what is the length of SR?
(A) 2
(B) 4
(C) 6
(D) 8
Correct Answer – (B)
Since, PS is the angle bisector of angle QPR
So, by angle bisector theorem,
QS/SR = PQ/PR
⇒ 3/SR = 6/8
⇒ SR = (3 X 8)/6 cm = 4 cm
Question 6 :
A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.
(A) 25.6
(B) 20.4
(C) 23.7
(D) 32.5
Correct Answer – (B)
According to given in the question
The far end of shadow is represented by point A,
Therefore we need to Find AC
By Pythagoras theorem,
(18)2 + (9.6)2 = (AC)2
⇒ AC2 = 416.16
⇒ AC = 20.4 m (approx)B
Question 7 :
ABCD is a trapezium in which AB|| DC and P, Q are points on AD and BC respectively such that PQ || DC. If PD = 18 cm, BQ = 35 cm and QC = 15 cm, find AD.
(A) 55cm
(B) 57cm
(C) 60cm
(D) 62cm
Correct Answer – (C)
Question 8 :
In the figure if ∠ACB = ∠CDA, AC = 8 cm and AD = 3 cm, find BD.
(A) 53/3 cm
(B) 55/3 cm
(C) 64/3 cm
(D) 35/7 cm
Correct Answer – (B)
Question 9 :
The lengths of the diagonals of a rhombus are 16 cm and 12cm. Then, the length of the side of the rhombus is
(A) 9 cm
(B) 10 cm
(C) 8 cm
(D) 20 cm
Correct Answer – (B)
Question 10 :
If ABCD is parallelogram, P is a point on side BC and DP when produced meets AB produced at L, then select the correct option
(A) DP/BL = DC/PL
(B) DP/PL = DC/BL
(C) DP/PL = BL/DC
(D) DP/PL = AB/DC
Correct Answer – (B)
- NCERT Solutions Class 10 Mathematics Triangles : Exercise 6.1
- NCERT Solutions Class 10 Mathematics Triangles : Exercise 6.2
- NCERT Solutions Class 10 Mathematics Triangles : Exercise 6.3
- NCERT Solutions Class 10 Mathematics Triangles : Exercise 6.4
- NCERT Solutions Class 10 Mathematics Triangles : Exercise 6.5
- NCERT Solutions Class 10 Mathematics Triangles : Exercise 6.6
