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Find the value of x, from the following:...

Find the value of x, from the following: `|(x,4),(2,2x)|=0`

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To solve the determinant equation \( |(x, 4), (2, 2x)| = 0 \), we will follow these steps: ### Step 1: Set up the determinant The determinant of a 2x2 matrix is given by the formula: \[ |A| = ad - bc \] where \( A = \begin{pmatrix} a & b \\ c & d \end{pmatrix} \). For our determinant, we have: ...
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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the value of x, If [[3x+y,-y],[2y-x,3]]=[[1,2],[-5,3]]

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  2. Write the value of the following determinant |(a-b,b-c,c-a),(b-c,c-a,a...

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  3. Find the value of x, from the following: |(x,4),(2,2x)|=0

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  4. Evaluate: int(cossqrt(x))/(sqrt(x))\ dx

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  5. Write the principal value of, cos^(-1)\ (cos(7pi)/6)

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  6. A card from a pack of 52 cards is lost. From the remaining cards of...

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  7. From a lot of 10 bulbs, which includes 3 defectives, a sample of 2 ...

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  8. Solve the following differential equation: (x^3+y^3)dy-x^2y dx=0

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  9. Evaluate: inte^(2x)sinx\ dx

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  10. Evaluate: int(3x+5)/sqrt(x^2-8x+7)\ dx

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  11. Find the distance of the plane 3x- 4y+12 z=3 from the origin.

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  12. Using properties of determinants, Find |(b+c,a,a),(b,c+a,b),(c,c,a+b)|

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  13. If x=a(cos t+t sin t) and y=a(sin t - t cos t), then (d^2y)/dx^2

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  14. A ladder 5 m long is leaning against a wall. The bottom of the ladd...

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  15. Solve the following differential equation: (1+x^2)dy+2x y\ dx=cotx\ ...

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  16. Show that the relation R in the set of real numbers, defined as R="{...

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  17. Express the following matrix as the sum of a symmetric and skew symmet...

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  18. Show that the relation S in the set A={x\ \ Z\ :0\ lt=x\ lt=12} given ...

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  19. A family has 2 children. Find the probability that both are boys, i...

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  20. Find lambda if (2 hat i+6 hat j+14 hat k)xx\ ( hat i-\ lambda hat j+7...

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