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Determine the value of ‘k’ for which the...

Determine the value of ‘k’ for which the following function is continuous at `x = 3, f(x) ={{:(((x+3)^2-36)/(x-3), x !=3),( k, x =3):}`

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. A variable plane which remains at a constant distance 3p from the orig...

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  2. Evaluate : int0^(3/2)|xsin pi x| dx

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  3. Determine the value of ‘k’ for which the following function is continu...

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  4. Find the distance between the planes 2x – y + 2z = 5 and 5x – 2.5y + ...

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  5. Using properties of determinants, prove that |(a^2+2a, 2a+1,1), (2a+1,...

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  6. Find the area bounded by the circle x^2 + y^2 = 16 and the line sqrt3y...

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  7. Using properties of determinants, prove that |(a^2+2a, 2a+1,1), (2a+1,...

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  8. Find the area bounded by the circle x^2 + y^2 = 16 and the line sqrt3y...

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  9. Find the vector equation of line passing through the point (1,2,-4)...

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  10. If |A| = 3 and A^-1 = [(3 -1), (-5/3 2/3)] then write the adj A.

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  11. For what value of k is the function f(x) = { k|x|/x, x<0; 3, x>=0 con...

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  12. Use product [1-1 2 0 2-3 3-2 4][-2 0 1 9 2-3 6 1-2] to solve the sy...

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  13. Show that the function f given by f(x)=tan^(-1)(sinx+cosx), x" ">" "0 ...

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  14. Find the matrix X so that X[[1, 2, 3],[ 4 ,5, 6]]= [[-7,-8,-9],[2,4,6]...

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  15. If y=e^"tan"^((-1)"x"), prove that (1+x^2)y2+(2x-1)y1=0.

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

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

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

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

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

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