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`(veca hati)hati + (veca hatj)hatj + (veca hatk) hatk ` is value of :

A

`|hati|`

B

`2|veca|`

C

`3|veca|`

D

`|veca|`

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IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHEMATICS 2006-MCQ
  1. The value of |(1,1,1),(bc,ca,ab),(b+c,c+a,a+b)| is :

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  2. The value of |(441,442,443),(445,446,447),(449,450,451)| is :

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  3. (veca hati)hati + (veca hatj)hatj + (veca hatk) hatk is value of :

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  4. Inverse of the matrix [{:(cos 2 theta, -sin 2 theta),(sin 2 theta, cos...

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  5. If |veca| =3,|vecb| = 4 , then a value of lamda for which veca + lamd...

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  6. A line passes through the point (6, -7, -1) and (2, -3, 1). The direct...

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  7. The maximum of the function 3cos x–4sin x is :

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  8. If the distance s metre traversed by a particle in t seconds is given ...

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  9. For the curve y^(n)=a^(n-1)x if the subnormal at any point is a consta...

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  10. If a=A cos 4t+B sin4t, then (d^(2)x)/(dt^(2)) is equal to

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  11. If tangent tto the curve x=at^(2),y=2at is perpendicular to X-axis, th...

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  12. The general solution of the differential equation (dy)/(dx)+(1+cos2y)/...

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  13. The area enclosed between the curves y = x^(3) and y = sqrt(x) is

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  14. int(0)^(pi//8) cos^(3)4 theta d theta=

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  15. int (0)^(pi//2) (cos x - sin x)/(1+cos x sin x)dx is equal to

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  16. If ax^2-y^2+4x-y=0 represents a pair of lines , then a is equal to

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  17. What is the equation of the locus of a point which moves such that 4 t...

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  18. If the area of the triangle with vertices x,0,1,1 and 0,2 1, 4 sq unit...

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  19. underset(theta to (pi)/(2))(lim)((pi)/(2)-theta)/(cot theta) is equal ...

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  20. The probability that A can solve a problem is 4/5 and B can solve it i...

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