#### Important 1mark -1

11th Standard

Reg.No. :
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Maths

Use blue pen Only

Time : 00:10:00 Hrs
Total Marks : 25

Part A

20 x 1 = 20
1. $\frac { 1 }{ cos{ 80 }^{ 0 } } -\frac { \sqrt { 3 } }{ sin{ 80 }^{ 0 } }$=

(a)

$\sqrt{2}$

(b)

$\sqrt{3}$

(c)

2

(d)

4

2. cos2ፀ cos2ф+sin2(ፀ-ф)-sin2(ፀ+ф) is equal to

(a)

sin2(ፀ-$\phi$)

(b)

cos2(ፀ+$\phi$)

(c)

sin2(ፀ-$\phi$)

(d)

cos2(ፀ-$\phi$)

3. $\frac { cos6x+6cos4x+15cos2x+10 }{ cos5x+5cos3x+10cosx }$ equal to

(a)

cos2x

(b)

cosx

(c)

cos3x

(d)

2cosx

4. The angle between the minute and hour hands of a clock at 8.30 is

(a)

800

(b)

750

(c)

600

(d)

1050

5. If tanA=$\frac { a }{ a+1 }$ and B=$\frac { 1 }{ 2a+1 }$ then the value of A+B is

(a)

0

(b)

$\frac { \pi }{ 2 }$

(c)

$\frac { \pi }{ 3 }$

(d)

$\frac { \pi }{ 4 }$

6. The quadratic equation whose roots are tan75° and cot75° is:

(a)

x2+4x+ 1 =0

(b)

4x2-x+ 1 =0

(c)

4x2+ 4x - 1 = 0

(d)

x2 - 4x + 1 = 0

7. The general solution of cosec$\theta$ = -2 is

(a)

$2n\pi +(-1)^n({\pi\over 6})$

(b)

$n\pi +(-1)^n({-\pi\over 6})$

(c)

$2n\pi \pm({\pi\over 6})$

(d)

$-{\pi\over 6}+n\pi$

8. (secA+tanA-1)(secA-tanA+1)-2tanA=

(a)

0

(b)

1

(c)

2

(d)

2 tan A

9. The value of tan 1° tan 2° tan 3°...tan 89° is

(a)

$\infty$

(b)

0

(c)

1

(d)

$\sqrt{3}$

10. If cosθ+$\sqrt{3}$sinθ=2 and θ∈[0,2π] then θ is

(a)

$\frac{\pi}{3}$

(b)

$\frac{5\pi}{3}$

(c)

$\frac{2\pi}{3}$

(d)

$\frac{4\pi}{3}$

11. The numerical value of tan-11+tan-12+tan-13=

(a)

$\pi$

(b)

$\frac{\pi}{2}$

(c)

0

(d)

$\frac{\pi}{4}$

12. If in a triangle ABC, ∠B=60°, then

(a)

(a-b)2=c2-ab

(b)

(b-c)2=a2-bc

(c)

(c-a)2=b2-ac

(d)

a2+b2=c2

13. Area of triangle ABC is

(a)

$\frac{1}{2}$ab cos C

(b)

$\frac{1}{2}$ab sin C

(c)

$\frac{1}{2}$ab cos B

(d)

$\frac{1}{2}$bc sin B

14. $lim_{x \rightarrow \infty}({x^2+5x+3\over x^2+x+3})^x$is

(a)

e4

(b)

e2

(c)

e3

(d)

1

15. If f(x)=x(-1)$\left\lfloor 1\over x \right\rfloor$,$x\le0$,then the value of $lim_{x\rightarrow 0}f(x)$ is equal to

(a)

-1

(b)

0

(c)

2

(d)

4

16. $lim_{\alpha \rightarrow {\pi/4}}{sin \alpha -cos \alpha \over \alpha -{\pi\over 4}}$ is

(a)

$\sqrt{2}$

(b)

$1\over \sqrt{2}$

(c)

1

(d)

2

17. The function is not defined for x = −1. The value of ( 1) f − so that the function extended by this value is continuous is

(a)

${2\over3}$

(b)

-${2\over3}$

(c)

1

(d)

0

18. Let A and B be two events such that $P(\overline{A\cup B})={1\over6}, P(A\cap B)={1\over4}$ and ${P(\overline{A})}={1\over4}$Then the events A and B are

(a)

Equally likely but not independent

(b)

Independent but not equally likely

(c)

Independent and equally likely

(d)

Mutually inclusive and dependent

19. If X and Y be two events such that P(X/Y)=${1\over2},P(Y/X)={1\over3}$ and $P(X\cap Y)={1\over6}$then P(x$\cup$y)is

(a)

${1\over3}$

(b)

${2\over5}$

(c)

${1\over6}$

(d)

${2\over3}$

20. In a certain college 4% of the boys and 1% of the girls are taller than 1.8 meter. Further 60% of the students are girls. If a student is selected at random and is taller than 1.8 meters, then the probability that the student is a girl is

(a)

${2\over 11}$

(b)

${3\over 11}$

(c)

${5\over 11}$

(d)

${7\over 11}$