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For what value of p , is ( hat i+ hat j+...

For what value of `p ,` is `( hat i+ hat j+ hat k)p` a unit vector?

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Find the value of x for which x( hat i+ hat j+ hat k) is a unit vector.

Find the value of x for which x\ ( hat i+ hat j+ hat k) is a unit vector.

Find the value of x for which x\ ( hat i+ hat j+ hat k) is a unit vector.

For what value of a the vectors 2 hat i-\ 3 hat j+4 hat k and a hat i+6 hat j-8 hat k are collinear?

For what value of a the vectors 2 hat i-3 hat j+4 hat k\ a n d\ a hat i+6 hat j-8 hat k are collinear?

Find the values of lambda such that x ,y ,z!=(0,0,0) and ( hat i+ hat j+3 hat k)x+(3 hat i-3 hat j+ hat k)y+(-4 hat i+5 hat j)z=lambda(x hat i+y hat j+z hat k) , where hat i , hat j , hat k are unit vector along coordinate axes.

Find the value of p , if (2 hat i+6 hat j+27 hat k) x ( hat i+3 hat j+p hat k)= vec0

Write the value of p for which vec a=3 hat i+2 hat j+9 hat k\ a n d\ vec b= hat i+p hat j+3 hat k are parallel vectors.

For given vector, vec a = 2 hat i j +2 hat k and vec b = - hat i + hat j - hat k , find the unit vector in the direction of the vector vec a + vec b .

If vec a= hat i+ hat j- hat k ,\ vec b=- hat i+2 hat j+2 hat k\ a n d\ vec c=- hat i+2 hat j- hat k , then a unit vector normal to the vectors a+b\ a n d\ b-c is

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate: int1^(sqrt(3))(dx)/(1+x^2)

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  2. If int(a x+b^2)\ dx=f(x)+c , find f(x)

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  3. For what value of p , is ( hat i+ hat j+ hat k)p a unit vector?

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  4. What is the value of the following determinant? Delta=|[4,a, b+c],[4...

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  5. What is the domain of the function sin^(-1)x ?

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  6. If 'f' is an invertible function, defined as f(x)=(3x-4)/5, write f...

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  7. Write a square matrix of order 2, which is both symmetric and skew ...

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  8. Find the direction cosines of the line passing through the followin...

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  9. If A=[[1, 2],[ 4, 2]], then find the value of k if |2A|=k\ |A|

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  10. If | vec a|=sqrt(3)\ | vec b|=2\ \ and vec a.vec b=sqrt(3,)\ find t...

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  11. A pair of dice is thrown 4 times. If getting a doublet is considere...

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  12. Evaluate: int0^1 1/(1+x^2)\ dx

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  13. Write the principal value of cos^(-1)(1/2)-2sin^(-1)(-1/2)

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  14. Simplify : cos theta[[costheta,si ntheta],[-si ntheta,costheta]]+si nt...

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  15. Evaluate int1^4(x^2-\ x)\ dx as a limit of sums.

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  16. If Delta=|[5, 3 ,8],[ 2, 0 ,1],[ 1 ,2 ,3]| , write the minor of the el...

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  17. Evaluate : int(1-x)sqrt(x)\ dxdot

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  18. Evaluate: int0^(pi/4)(sinx+cosx)/(9+16sin2x)dx

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  19. Find lambda where projection of vec (a) = lambda hat (i) + hat (j) ...

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  20. If a line has direction ratios 2, –1, –2, then what are its directi...

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