1
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

Let a1, a2, a3 .... be a harmonic progression with a1 = 5 and a20 = 25. The least positive integer n for which an < 0, is

A
22
B
23
C
24
D
25
2
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

If the plane $$3x + y + 2z + 6 = 0$$ is parallel to the line $${{3x - 1} \over {2b}} = 3 - y = {{z - 1} \over a}$$, then the value of $$3a + 3b$$ is

A
$${1 \over 2}$$
B
$${3 \over 2}$$
C
3
D
4
3
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

Let a, b be the solutions of x2 + px + 1 = 0 and c, d be the solution of x2 + qx + 1 = 0. If (a $$-$$ c) (b $$-$$ c) and (a + d)(b + d) are the solution of x2 + ax + $$\beta$$ = 0, then $$\beta$$ is equal to

A
p + q
B
p $$-$$ q
C
p2 + q2
D
q2 $$-$$ p2
4
BITSAT 2022
MCQ (Single Correct Answer)
+3
-1

If $$\left[ {\matrix{ 1 & { - \tan \theta } \cr {\tan \theta } & 1 \cr } } \right]{\left[ {\matrix{ 1 & {\tan \theta } \cr { - \tan \theta } & 1 \cr } } \right]^{ - 1}} = \left[ {\matrix{ a & { - b} \cr b & a \cr } } \right]$$, then

A
a = 1, b = 1
B
$$a = \sin 2\theta ,b = \cos 2\theta $$
C
$$a = \cos 2\theta ,b = \sin 2\theta $$
D
None of these
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