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Write the equation of the plane parallel...

Write the equation of the plane parallel to XOY-plane and passing through the point (2, -3, 5).

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Write the equation of the plane parallel to YOZ-plane and passing through (-4, 1, 0).

Write the equation of the line that is parallel to y-axis and passing through the point (i) (3,\ 5) (ii) (-4,\ -3)

Write the equation of the line that is parallel to x-axis and passing through the point (i) (2,\ -5) (ii) (3,\ 4)

Find the equation of the plane which cuts equal intercepts on the axes and passes through the point (2,3,5).

Find the vector equation of the plane passing thrugh the points (2,5,-3),(-2,-3,5),(5,3,-3).

Find the equation of the plane passing through the following points: (2,\ 3,\ 4),\ (-3,\ 5,\ 1)a n d\ (4,\ -1,\ 2)dot

Write the vector equation of the plane passing through the point (a, b,c) and parallel to the plane vecr. (hati + hatj + hatk) = 2.

Find the vector equations of the plane passing through the points R(2, 5, -3) , S ( -2, -3, 5) and T(5, 3, -3) .

Find the equation of the plane passing through the points (2, 2, -1) and (3, 4, 2) and parallel to the line whose direction ratios are (7,0, 6)

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RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the direction cosines of the unit vector perpendicular to the pla...

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  2. Find the coordinates of the foot of the perpendicular drawn from the ...

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  3. Write the equation of the plane parallel to XOY-plane and passing t...

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  4. Write the equation of the plane parallel to YOZ-plane and passing t...

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  5. Write the equation of the plane passing through points (a ,\ 0,\ 0),\ ...

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  6. Write the general equation of a plane parallel to X-axis.

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  7. Write the intercepts made by the plane 2x-3y+4z=12 on the coordinate a...

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  8. Write the ratio in which the plane 4x+5y-3z=4 divides the line segment...

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  9. Write the plane vec rdot((2 hat i+3 hat j-6 hat k)=14 in normal form.

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  10. Write the equation of the plane vec r= vec a+lambda vec b+mu vec c\ ...

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  11. Write a vector normal to the plane vec r=l vec b+m vec c

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  12. Write the equation of the plane passing through (2, -1,1) and parallel...

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  13. Write the equation of the plane containing the lines vec r= vec a+lam...

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  14. Write the position vector of the point where the line vec r= vec a+la...

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  15. Write the value of k for which the line (x-1)/2=(y-1)/3=(z-1)/(k) is p...

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  16. Write the intercept cut off by the plane 2x+y-z=5 on x-axis.

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  17. Find the length of the perpendicular drawn from the origin to the p...

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  18. Write the vector equation of the line passing through the point (1, -2...

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  19. Write the vector equation of the plane passing through the point (a, b...

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  20. The acute angle between the planes 2x-y+z=6\ a n d\ x+y+2z=3 is 45^0\ ...

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