Que 1:) The graph of the function y = f(x) is symmetrical about the line x = 2, then
f(x + 2)= f(x – 2) f(2 + x) = f(2 – x) f(x) = f(-x) f(x) = - f(-x)
Que 2:) A point on the parabola y2 = 18x at which the ordinate increases at twice the rate of the abscissa is
(2, 4) (2, -4) (-9/8, 9/2) (9/8, 9/2)
Que 3:) The normal to the curve x = a(1 + cosq), y = asinq at ‘q’ always passes through the fixed point
(a, 0) (0, a) (0, 0) (a, a)
Que 4:) If 2a + 3b + 6c =0, then at least one root of the equation ax2 + bx + c lies in the interval
1 2 3 4
Que 5:) The area of the region bounded by the curves y = |x – 2|, x = 1, x = 3 and the x-axis is
2x + 3y = 9 2x – 3y = 7 3x + 2y = 5 3x – 2y = 3
Que 6:) Let A (2, –3) and B(–2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y = 1, then the locus of the vertex C is the line
x/2 + y/3 = -1 and x/-2 + y/1 = -1 x/2 - y/3 = -1 and x/-2 + y/1 = -1 x/2 + y/3 = 1 and x/2 + y/1 = 1 x/2 - y/3 = 1 and x/-2 + y/1 = 1
Que 7:) The equation of the straight line passing through the point (4, 3) and making intercepts on the co-ordinate axes whose sum is –1 is
3/2 5/2 7/2 9/2
Que 8:) Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is
(3a, 3a, 3a), (a, a, a) (3a, 2a, 3a), (a, a, a) (3a, 2a, 3a), (a, a, 2a) (2a, 3a, 3a), (2a, a, a)
Que 9:) A line with direction cosines proportional to 2, 1, 2 meets each of the lines x = y + a = z and x + a = 2y = 2z. The co-ordinates of each of the point of intersection are given by
only (1) only (2) (1) and (2) (1), (2) and (3)
Que 10:) Consider the following statements:
(1) Mode can be computed from histogram
(2) Median is not independent of change of scale
(3) Variance is independent of change of origin and scale. Which of these is/are correct?
–2 – 1 – 1/2 0
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