Admission - উচ্চতর গণিত - Page 397 - Prothom Sir

1.

$F i n d t h e c e n t e r o f t h e c i r e l e 3 x^{2} + 3 y^{2} - 36 x + 12 y = 0$

(2,3)

(3,2)

18,-6

(6,-2)

(2,3)

(3,2)

18,-6

(6,-2)

2.

Which one of the following is not wrong?

\frac{d}{d x} (\sin x) + - \cos x

\frac{d}{d x} (co t x) = \cos e c x

\frac{d}{d x} (\cos e c x) = - \cos e c x c o t x

\frac{d}{d x} (\tan x) = s e c x

\frac{d}{d x} (\sin x) + - \cos x

\frac{d}{d x} (co t x) = \cos e c x

\frac{d}{d x} (\cos e c x) = - \cos e c x c o t x

\frac{d}{d x} (\tan x) = s e c x

3.

Determine the equation of the directer of parabola: $x^{2 + 8 x + 2 y = 0}$

2y=5/13

y=17/2

y = \frac{1}{2}

y=2/5

2y=5/13

y=17/2

y = \frac{1}{2}

y=2/5

4.

$D e t e r m i n e t h e v a l e o f {\int_{0}}^{π / 2} \sin x \sin 2 x d x = ?$

3/2

1

2/3

1/2

3/2

1

2/3

1/2

5.

Find out the next number of the series 2,9,6,7,18,5....

25

40

54

৯০

25

40

54

৯০

6.

The average of 3 numbers is 5. if 2 of the numbers are zero, what is the third number?

20

5

১০

১৫

20

5

১০

১৫

7.

Which letter does not belong in this series? Z,Y,X,W,V,Q

U

Q

W

Z

U

Q

W

Z

8.

পাশের লেখচিত্র অনুযায়ী 5 s এ অতিক্রান্ত দূরত্ব কতো ?

50 m

25 m

10 M

0 m

50 m

25 m

10 M

0 m

9.

Shelly is taller than Polly. Dolly is taller than Keya. Keva is shorter than Shirin. Polly and Shirin are of the same height. Hf the above is true, which of the followmy statement must also be truce.

Dolly is taller than Shirin

Dolly is taller than Shelly

Polly is shorter than Dolly

Shelly is taller than Keya

Dolly is taller than Shirin

Dolly is taller than Shelly

Polly is shorter than Dolly

Shelly is taller than Keya

10.

40% of 200 is what percent of 160?

100

80

60

50

100

80

60

50

11.

The angles of a triangle are in the ratio 2:3:4. The largest angle in the triangle is

40

°

70

°

75

°

80

°

40

°

70

°

75

°

80

°

12.

If N and P are both odd numbers, which of the following number must be an even number?

n+p

NP

np+2

n+p+1

n+p

NP

np+2

n+p+1

13.

Which of the following expresses the perimeter of a square region in terms of its area K?

4K

\sqrt[2]{k}

\sqrt{2 k}

\sqrt[4]{k}

4K

\sqrt[2]{k}

\sqrt{2 k}

\sqrt[4]{k}

14.

If radius of Earth is 4 times that of Moon, then how many times the surface area of the Moon is that of the Earth?

৪

১৬

46

৮

৪

১৬

46

৮

15.

X lives 4 miles west of Y’s house. P lives 6 miles north of Y's house & 4 miles west of-Z’s house. Find straight line distance in miles from X’s house to Z’s house?

৪

5

৮

১০

৪

5

৮

১০

16.

Which is the biggest of the following fractions?

7/8

8/9

11/13

17/18

7/8

8/9

11/13

17/18

17.

The sum of the 3 consecutive numbers i 123. the product of two smaller numbers is What?

৬২৫

1600

১৬৪০

১৬৮০

৬২৫

1600

১৬৪০

১৬৮০

18.

৩,৮,১৫,২৪,৩৫,৪৮,৬৩,৮০ সিরিজের পরবর্তী সংখ্যাটি কত হবে ?

92

৯১

95

৯৯

92

৯১

95

৯৯

19.

$\int \frac{2 x d x}{1 + x^{2}}$ এর মান কত?

\tan^{- 1} x + c

1 n (1 + x^{2}) + c

1 n (1 + x) + c

s e c^{- 1} x + c

\tan^{- 1} x + c

1 n (1 + x^{2}) + c

1 n (1 + x) + c

s e c^{- 1} x + c

20.

(4,-8) এবং (-5, 10) বিন্দু দিয়ে অতিক্রমকারী রেখার ঢাল কত?

-2

2

\frac{1}{2}

\frac{- 1}{2}

-2

2

\frac{1}{2}

\frac{- 1}{2}