11) The terms 4, 7, 10, \dots form an A.P. The sum of the first 15 terms is?
A) 340
B) 360
C) 375
D) 390
12) If a line is passing through the points (2, 5) and (x, 3) and its slope is 2, then the value of x is?
13) The distance of point (2, 4) from the x-axis is?
14) The area of the triangle with vertices (1, 1), (-4, 6), (-3, -5) is?
15) If \( A = 45^\circ \), then the value of \( \sin A + \cos A + \cos 2A \) is?
A) \( \sqrt{2} \)
B) 1
C) 2
D) '0'
16) \( \cot(90^\circ – \theta) = ? \)
A) \( \sin \theta \)
B) \( \cos \theta \)
C) \( \tan \theta \)
D) \( \sec \theta \)
17) If A is the set of odd numbers less than 6 and B is the set of prime factors of 30, then:
A) \( A \cup B = \{1, 3, 5, 2, 3, 5\} \)
B) \( A \cap B = \{3, 5\} \)
C) \( A \neq B \)
D) \( A \cup B = \{1, 3, 5, 2, 3\} \)
18) If the pair of equations \( 3x + 4y = k \) and \( 9x + 12y = 6 \) has infinite number of solutions, then the value of k is:
19) The product of the zeroes of a polynomial \( x^3 – 3x^2 + x + 1 \) is:
20) The sum of the first n natural numbers is:
A) \( \frac{n(n+1)}{2} \)
B) \( \frac{n(n-1)}{2} \)
C) \( n^2 \)
D) \( n(n+1) \)
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