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Q:

PR is a tangent to a circle with centre O and radius 4 cm at point Q. If ∠POR = 90°, OR = 5 cm and OP = 20/3 cm, then the length of PR is:

A) 16/3 cm B) 23/3 cm
C) 25/3 cm D) 3 cm

Answer:   C) 25/3 cm



Explanation:
Q:

Which of the following quadratic equations has real roots?

A) 4x2 - 7x + 5 = 0 B) 5x2 - 11x + 7 = 0
C) 5x2 - 11x + 8 = 0 D) 2x2 - 7x + 5 = 0
 
Answer & Explanation Answer: D) 2x2 - 7x + 5 = 0

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Q:

∆ABC is similar to ∆PQR. If ratio of perimeters of ∆ABC and ∆PQR is 1:2 and if PQ = 10 cm then what is the length of AB (in cm)?

A) 5 B) 20
C) 25 D) 15
 
Answer & Explanation Answer: A) 5

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Q:

cos(A+B) + cos(A-B) is equal to

A) 2cosAcosB B) 2sinAsinB
C) 2sinAcosB D) 2cosAsinB
 
Answer & Explanation Answer: A) 2cosAcosB

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Q:

Dodecahedron has 20 vertices. How many edges does it have?

A) 30 B) 16
C) 12 D) 24
 
Answer & Explanation Answer: A) 30

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Q:

What is the slope of the line parallel to the line passing through the points (3 , -4) and (-2 , 5)?

A) 9/5 B) -5/9
C) -9/5 D) 5/9
 
Answer & Explanation Answer: C) -9/5

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Q:

∆ABC is right angled at B. BD is an altitude. AD = 4 cm and DC = 9 cm. What is the value of BD (in cm)?

A) 5 B) 4.5
C) 5.5 D) 6
 
Answer & Explanation Answer: D) 6

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Q:

At what point does the line 2x - 3y = 6 cuts the X axis?

A) (-3 , 0) B) (0 , 3)
C) (0 , -3) D) (3 , 0)
 
Answer & Explanation Answer: D) (3 , 0)

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Q:

The 5th and 9th term of an arithmetic progression are 7 and 13 respectively. What is the 15th term?

A) 22 B) 21
C) 55 D) 59
 
Answer & Explanation Answer: A) 22

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