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Practice Test - Mathematics 17
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Question 1
Let 
and 
be three non–zero vectors such that no two of them are collinear and 
. If θ is the angle between vectors 
and 
, then a value of sin θ is
and be three non–zero vectors such that no two of them are collinear and . If θ is the angle between vectors and , then a value of sin θ is Question 2
The number of right angled triangles having integral sides and hypotenuse 65 unit is
Question 3
The value of 
is
isQuestion 4
Consider the following statements:
(a) Mode can be computed from histogram
(b) Median is not independent of change of scale
(c) Variance is independent of change of origin and scale.
Which of these is/are correct?
(a) Mode can be computed from histogram
(b) Median is not independent of change of scale
(c) Variance is independent of change of origin and scale.
Which of these is/are correct?
Question 5
In a triangle, ABC, let ∠C =
. If r is the inradius and R is the circumradius of the triangle ABC, then 2 (r + R) equals
. If r is the inradius and R is the circumradius of the triangle ABC, then 2 (r + R) equalsQuestion 6
If f : R → R satisfies f (x + y) = f (x) + f (y), for all x, y ∈ R and f (1) = 7, then 
is
is Question 7
If the roots of the equation bx2 + cx + a = 0 be imaginary, then for all real values of x, the expression 3b2x2 + 6bcx + 2c2 is
Question 8
Statement 1: The sum of the series 1 + (1 + 2 + 4) + (4 + 6 + 9) + (9 + 12 + 16) + …… + (361 + 380 + 400) is 8000.
Statement 2:
for any natural number n.
Statement 2:
for any natural number n.Question 9
A random variable X has Poisson distribution with mean 2. Then P(X >1.5) equals
Question 10
The minimum value of a tan2x + b cot2x equals the maximum value of a sin2θ + b cos2θ where a > b > 0, when
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Jan 30JEE & BITSAT
