NIMCET 2017 Previous Year Questions (PYQs) – Page 6 of 12
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is
If cosθ = 4/5 and cosϕ = 12/13, θ and ϕ both in the fourth quadrant, the value of cos( θ + ϕ )is
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Solution
Express (cos 5x – cos7x) as a product of sines or cosines or sines and cosines,
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Solution
If non-zero numbers a, b, c are in A.P., then the straight line ax + by + c = 0 always passes
through a fixed point, then the point is
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Solution
Since a, b and c are in A. P. 2b = a + c
a –2b + c =0
The line passes through (1, –2).
If the lines x + (a – 1)y + 1 = 0 and 2x + a2y – 1 = 0 are perpendicular, then the condition satisfies by a is
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Solution
In a triangle ABC, let angle C = π/2. If R is the inradius and R is circumradius of the triangle ABC,
then 2(r + R) equals
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Solution
If x2 + 3xy + 2y2 – x – 4y – 6 = 0 represents a pair of straight lines, their point of intersection is
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Solution
The equation of the tangent line to the curve y = 2x sin x at the point (π/2, π), is
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Solution
If the graph of y = (x – 2)2 – 3 is shifted by 5 units up along y-axis and 2 units to the right along
the x-axis, then the equation of the resultant graph is
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Solution
When y= f (x) is shifted by k units to the right along x
– axis, it become y= f (x - k )
Hence, new equation of
graph is y = (x - 4)2 + 2
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