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If 2[3 4 5x]+[1y0 1]=[7 0 10 5], find (...

If `2[3 4 5x]+[1y0 1]=[7 0 10 5],` find `(x-y)dot`

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To solve the equation \( 2[3 \quad 4 \quad 5x] + [1y \quad 0 \quad 1] = [7 \quad 0 \quad 10 \quad 5] \), we will follow these steps: ### Step 1: Multiply the first matrix by 2 We start by multiplying each element of the matrix \( [3 \quad 4 \quad 5x] \) by 2: \[ 2[3 \quad 4 \quad 5x] = [2 \times 3 \quad 2 \times 4 \quad 2 \times 5x] = [6 \quad 8 \quad 10x] \] ...
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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Assume that each born child is equally likely to be a boy or ...

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  2. Let ** be a binary operation, on the set of all-zero real numbers, giv...

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  3. If 2[3 4 5x]+[1y0 1]=[7 0 10 5], find (x-y)dot

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  4. If "sin"(sin^(-1)\ 1/5+cos^(-1)x)=1, then find the value of xdot

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  5. If |[2x,5],[ 8,x]|=|[6,-2],[ 7, 3]|, write the value of x

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  6. Solve the following matrix equation for x : ,[x1][1 0-2 0]-Odot

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  7. Evaluate : int0^3(dx)/(9+x^2)

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  8. Write the antidervative of (3sqrt(x)+1/(sqrt(x)))dot

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  9. If vec a and vec b are two unit vectors such that vec a+ vec b is a...

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  10. Find the projection of the vector hat i+3 hat j+7 hat k on the vector...

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  11. Show that the lines (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/...

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  12. Find the equations of the tangent and normal to the curve x=asin^3t...

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  13. Evaluate : int(pi/6)^(pi/3)(dx)/(1+sqrt(cotx))

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  14. Show that the semi-vertical angle of the cone of the maximum volume an...

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  15. Prove that cot^(-1)((sqrt(1+sin)+sqrt(1-sinx))/(1sqrt(1+sin)-sqrt(1...

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  16. Prove that 2tan^(-1)(1/5)+sec^(-1)((5sqrt(2))/7)+2tan^(-1)(1/8)=pi/4...

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  17. Prove that, for any three vectors vec a , vec b , vec c [ vec a+ v...

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  18. Vector vec a , vec b and vec c are such that vec a+ vec b+ vec c...

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  19. The sum of the perimeters of a circle and a square is k , where k is s...

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  20. Find the direction cosines of the line (x+2)/2=(2y-7)/6=(5-z)/6dot Als...

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