Math, asked by karthikeyan20092003, 2 months ago

If we measure the side of a cube to be 4 cm with an error of 0.1cm,then the error in our calculation of the volume is

2 cu.cm

0.45 cu.cm

4.8 cu.cm

0.4 cu c.m

Required

3. lf g(x)=x²+sin x then dg =

2x+sin x

2x+ cos x

(2x+cos x) dx

(x²+ cos x)dx

Required

4. The maximum value of the function x ² e⁻²ˣ, x>0 is

1/e²

1/2e

4/e⁴

1/e

Required

5. limₓ→₀ [sin mx/x] =

m

0

π/2

1

Required

6. The angle between the curve y=sin x and the positive X axis is

π/3

0

π/4

π/2

Required

7. If f ( x )=x/ x+1 then its differentials is given by

-1/(x+1)

1/(x+1)² dx

-1/(x+1)² dx

1/(x+1) dx

Required

8. The radius of the circle passing through the point (6,2) two of whose diameters are x+y=6 and x+2y=4 is

10

4

6

2√5

Required

9. log₁₀ᵉ=0.4343 then the approximate value of log₁₀1003=

3.3

3.00013029

3.0013029

3.000014.

Required

10. The slope of the line normal to the curve f(x )=2cos 4x at x=π/12 is

-4

-4√3

4√3

√3/12

Required

11. If a and b are unit vectors such that [a b axb] =1/4 then the angle between vector a and vector b is

π/6

π/2

π/3

π/4

Required

12. The approximate value of √9.2 (by linear approximation method)

3.03333

3.3

3.0003

3.2

Required

13. If x+y=k is normal to the parabola y²=12x then the value of k is

-1

9

3

1

Required

14. The diagonals of a parallellogram are equal then it is a

square

rhombus

rectangle

parallellogram

Required

15. The radius of the circle 3x²+by²+4bx-6by+b²=0 is

3

1

√10

√11

Required

16. Distance between the parallel planes x +2y- 2z+1=0 and 2x+4y-4z+5=0 is

2

1

-1/2

1/2

Required

17. The vertex of the parabola y²=16x is....

(4,0)

(0,0)

16

(0,4)

Required

18. Distance from the origin to the plane 3x-6y+2z +7=0 is

0

2

1

3

Required

19. If the coordinates at one end of a diameter of the circle x²+y² -8x -4y+c=0 are(11,2)the coordinates of the other end are

(-3,2)

(5,3)

(11,-8)

(3,5)

Required

20. If a.b=b.c=c.a=0 then the value of [ a b c] is

-1

1

1/3|a | |b | |c |

|a| | b||c |

Required

21. The circle x²+y²=4x+8y+5 intersects the line 3x-4y=m at two distincts points if

35

-85

-35

15

Required

22. The function sin⁴ x+cos⁴ x is increasing in the interval

[π/2,5π/8[

[0,π/4]

[π/4,π/2]

[5π/8,3π/4]

Required

23. Three vectors a,b&c are coplanar then [a b c]=

2

0

π

1

Required

24. If a and b are parallel vectors then[a b c] is equal to

0

2

-1

1

Required

25. The position of a particle moving along a horizontal line of any time t is given by s (t)=3t²-2t-8.The time at which the particle is at rest is t=

1

1/3

0

3

Required

26. The local extrema for the functions f(x)=x⁴ +32x is

(-2,48)

(-2,-48)

(2,-48)

(2,48)

Required

27. The product of two positive numbers is 20 and their sum is minimum then they are

2√5,2√5

4,5

2, 19

5√2 ,√2

Required

28. The condition for the line y=mx+c to be a tangent to the parabola y²=4ax then c=

4a

am

a/m

(a/m,2a/m)

Required

29. The eccentricity of the ellipse (x-3)²+(y-4 )²= y²/9 is

1/3

1/√2

1/√3

√3/2

Required

30. The percentage error of fifth root of 31is approximately how many times the perpentage error in 31?

1/31

5

31

1/5

Answers

Answered by sangavishal78
2

Answer:

1 . 0.4

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