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Find the coordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY-plane.

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To find the coordinates of the point where the line through the points A(3, 4, 1) and B(5, 1, 6) crosses the XY-plane, we can follow these steps: ### Step 1: Determine the direction ratios of the line The direction ratios of the line passing through points A and B can be calculated as follows: - The direction ratios can be found using the formula: \[ \text{Direction Ratios} = (x_2 - x_1, y_2 - y_1, z_2 - z_1) ...
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Find the coordinates of the point where the line through (3, 4, 1) and (5, 1, 6) crosses XY-plane.

Find the coordinates of the point where the line through (3, 4, 5) and (2, 3, 1) crosses the plane 2x + y + z = 7 .

Find the coordinates of the point where the line through (3, -4, -5) and (2, -3, 1) crosses the plane 2x + y + z = 7 .

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. A dietician wishes to mix two types of foods in such a way that the...

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  2. Let vec(a)=hat(i)+4 hat(j)+2hat(k), vec(b)=3 hat(i)-2 hat(j)+7 hat(k) ...

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  3. Find the coordinates of the point where the line through the points...

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  4. Two cards are drawn simultaneously (without replacement) from a wel...

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  5. Using matrices, solve the following system of equations: 2x+3y+3z=5;...

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  6. Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

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  7. If the lines (x-1)/(-3)=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1=(z-3)...

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  8. Sand is pouring from a pipe at the rate of12\ c m^3//s . The falling s...

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  9. Write the value of tan(2tan^-1(1/5)) .

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  10. Find (dy)/(dx)\ if (x^2+y^2)^2=x y

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  11. If y=3cos(logx)+4sin(logx),\ then show that x^2(d^2\ y)/(dx^2)+x(dy...

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  12. If x^m y^n=(x+y)^(m+n), prove that (dy)/(dx)=y/x .

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  13. Evaluate: int(3x-1)/((x+2)^2)\ dx

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  14. Evaluate: intx^2tan^(-1)x\ dx

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  15. If the binary operation "." on the set of integers Z , is defined by...

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  16. If int0^1(3x^2+2x+k)dx=0, find the value of k

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  17. Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx

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  18. Evaluate: int0^(pi/2)2sinxcosxtan^(-1)(sin"x")" dx"

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  19. Find the projection of vec a on vec b , if vec a . vec b =8 and vec b=...

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  20. Evaluate : int(sec^2x)/(3+tanx)\ dx

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