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Find the image of the point having position vector ` hat i+3 hat j+4 hat k` in the plane ` vec rdot(2 hat i- hat j+ hat k)+3=0.`

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    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. If y=e^"tan"^((-1)"x"), prove that (1+x^2)y2+(2x-1)y1=0.

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  2. Find int2x sin (3x + 1) dx

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  3. Find the image of the point having position vector hat i+3 hat j+4 ha...

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  4. Given A=((2,-3),(-4,7)) compute A^(-1) and show that 2A^(-1)=9I-A

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  5. Differentiate tan^(-1)((1+cosx)/sinx) with respect to x

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  6. Find the value of tan^(-1) sqrt3 - cot^(-1) (-sqrt3)

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  7. The total cost C(x) in Rupees, associated with the production of x ...

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  8. Integrate the functions (cos2x+2sin^2x)/(cos^2x)

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  9. Find the differential equation representing the family of curves y=ae^...

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  10. If the matrix A = [[0,a,-3],[2,0,-1],[b,1,0]] is skew symmetric, find ...

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  11. If theta is the angle between two vectors hati-2hatj+3hatk and 3hati-2...

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  12. Find the magnitude of each of the two vectors veca and vec b having th...

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  13. A black and a red dice are rolled. (a)   Find the conditional proba...

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  14. Using properties of determinants prove that |(1,1, 1+3x),(1+3y,1,1),(1...

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  15. Find (dy)/dx, if (x^2+y^2)^2=xy

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  16. If a * b, denoted the larger of 'a' and 'b' and if a o b = a*b + 3 , ...

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  17. If x=a(2theta-sin2theta) and y=a(1-cos2theta) find (dy)/(dx) when thet...

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  18. If y="sin"(sinx),"p r o v et h a t" (d^2y)/(dx^2)+tanx(dy)/(dx)cos^...

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  19. Prove that: 3sin^(-1)x=sin^(-1)(3x-4x^3), x in [-1/2,1/2]

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  20. Find the area of the region in the first quadrant enclosed by the x...

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