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Q:

If (x – 2) and (x + 3) are the factors of the equation x2 + k1x + k2 = 0, then what are the values of k1 and k2?

A) k1 = 6, k2 = – 1 B) k 1 = 1, k 2 = – 6
C) k 1 = 1, k2 = 6 D) k1 = – 6, k2 = 1

Answer:   B) k 1 = 1, k 2 = – 6



Explanation:
Q:

If 1/(cosecA ­ cotA) = x, then the value of x is

A) cosecA + cotA B) cosecA­ - cotA
C) cosec2A + cot2A D) √[cosec2A + cot2A]
 
Answer & Explanation Answer: A) cosecA + cotA

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Q:

If (tanA + tanB)/(1 ­ tanAtanB) = x, then the value of x is

A) tan(A + B) B) tan(A -­ B)
C) cot(A + B) D) cot(A ­- B)
 
Answer & Explanation Answer: A) tan(A + B)

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Q:

If sin ­- 5π/3 = x, then the value of x is

A) -√3/2 B) √3/2
C) -2 D) -2/√3
 
Answer & Explanation Answer: B) √3/2

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Q:

What is the slope of the line perpendicular to the line passing through the points (8,­2) and (3,­1)?

A) 5 B) 3/5
C) 5/3 D) 1/5
 
Answer & Explanation Answer: A) 5

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Q:

If 2x + 3y = 0 and 3x ­- 4y = 34, then x ­- y = ______

A) 10 B) -10
C) 2 D) -2
 
Answer & Explanation Answer: A) 10

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Q:

If 5 ­ 3x < 4 ­ x and 5(2 ­ x) > 2 ­ 2x, then x can take which of the following values?

A) 0 B) 1
C) 3 D) -1
 
Answer & Explanation Answer: B) 1

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Q:

If a:b = 3:8, find the value of (5a ­ 3b)/(2a + b).

A) 9/14 B) 14/9
C) -9/14 D) -14/9
 
Answer & Explanation Answer: C) -9/14

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Q:

The value of x for which the expressions 15 ­ 7x and 15x + 7 become equal is _____.

A) -4/11 B) 11/4
C) -11/4 D) 4/11
 
Answer & Explanation Answer: D) 4/11

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