Download part-test-1-3 - Success Zone

Max marks-60 (15x4)
Part Test -1
Max time 30 min
Mark the only correct option.Every wrong answer will fetch -1 mark.
1. If sin2θ+cos4θ=p then (a)1≤p≤2
2. a2+1 ab
ac
2
ab b +1 bc = ?
ca cb c2+1
(b) 3/4≤p≤1
(a)a2+b2+c2
(c) 3/4≤p≤13/16
(d) 13/16≤p≤1
(b) 1+a2+b2+c2 (c)3+ a2+b2+c2 (d)none
3.The value of sin-1(sin 10) is
(a)10
(b)10-3π
(c)3π-10
3
3
2
2
4.Let P & Q be 3x3 matrices & P≠Q.If P =Q & P Q=Q P then determinant of P2+Q2
(a)-2
(b)1
(c)0
(d)none
(d)-1
5. If 0<a<b, lim
( bn+an)1/n = …. (a)e
(b)a
(c)b
(d)none
n→ ∞
6.The value of
lim
ln(1+{x})/{x} where {x} denotes fractional part of x, is
n→ 0
(a)1
(b)-1 (c)0
(d)none
7.How many terms of the AP -5,-9/2,-4 will give sum 0? (a)21 (b)18 (c)23 (d)16
8.The number of positive integral solutions of tan-1+cos-1(y/ √1+y2)=sin-1(3/ √10) is/ are
(a)1 (b)2
(c)3
(d)none
1/x
1/y
1/z
9.If a,b,c are in GP & a = b = c then x,y,z are in (a)AP (b)GP (c)HP (d)none
10. lim
∫2sec2x f(t)dt
n→ π/4
x2 -π2/16
(a)8f(3)/π (b) 8f(2)/π
(c)8/π (d) none
11.If x,y,z are integers in AP ,lying between 1 & 9 then value of 5
4
3
X51 y41 z31
(a)x+y+z
(b) x-y+z
(c)0
(d) x+2y+z
X
y
z
2
-1
12.If A -3A+2I=O then (a)A is singular (b)A =(3I+A)/2 (c) (I-3A)/2
(d) (3I-A)/2
13.If p,q,r are positive real numbers & p,q,r are in AP ,then roots of quadratic eqn 2px2+qx+r=0 are
real if (a) p/r-15 ≥4√14 (b)p>r (c)r=p (d)none
14.The largest interval for which 1+(x-1)+(x-1)2+……..∞ terms can be summed is
(a)0<x<1
(b) 0<x<2
(c) -1<x<1
15.If sin-1(x/5)+cosec-1(5/4)=π/2 then 4x is (a)4 (b)1
(c)2
Mark the correct answer------------ANSWERS-
NAME------
a b c d
1
2
3
4
5
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OOOO
OOOO
OOOO
OOOO
a b c d
6
7
8
9
10
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OOOO
OOOO
OOOO
OOOO
a b c d
11.
12.
13.
14.
15.
OOOO
OOOO
OOOO
OOOO
OOOO
(d) -2<x<2
(d)none