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Given the equation of the line 3x-y+z+1=...

Given the equation of the line `3x-y+z+1=0 and 5x+y+3z=0`. Then,which of the following is correct?

A

Symmetrical form of the equation of line is `(x)/(2)=(y-(1)/(8))/(-1)=(z+(5)/(8))/(1)`.

B

Symmetrical form of the equation of line is `(x+(1)/(8))/(1)=(y-(5)/(8))/(-1)=(z)/(-2)`

C

Equation of the through `(2, 1, 4)` and perpencular to the given lines is `2x-y+z-7=0`.

D

Equation of the plane through `(2, 1, 4)` and perpendicular to the given lines is `x+y-2z+5=0`.

Text Solution

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The correct Answer is:
(b, d)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (More Than One Correct Option Type Questions)
  1. Given the equation of the line 3x-y+z+1=0 and 5x+y+3z=0. Then,which of...

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  2. Form the differential equation of the family of circles in the second ...

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  3. Find the angle between the planes 2x+y+z-1=0 and 3x+y+2z-2=0,

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  4. Through the point P(h, k, l) a plane is drawn at right angles to OP to...

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  5. Which of the following statements is/are correct?

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  6. Which of the following is/are correct about a tetrahedron?

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  7. A variable plane is at a distance, k from the origin and meets the coo...

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  8. Find the equation of the plane containing the line : (x+1)/1=(y-2)/2=(...

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  9. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersects the curve x^2+y^2=r...

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  10. A vector equally inclined to the vectors hat(i)-hat(j)+hat(k) and hat(...

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  11. Find the equations of the line through the point ( 1 , -2, -3) and par...

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  12. A plane passes through a fixed point (a, b, c) and direction ratios of...

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  13. Let A be vector parallel to line of intersection of planes P1 and P2. ...

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  14. Find the angle between the planes 2x+y+z-1=0 and 3x+y+2z-2=0,

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  15. Find the direction ratios of this plane 2x-3y+4z+2=0

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  16. A line segment has length 63 and direction ratios are 3,-2 and 6. The ...

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  17. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

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  18. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

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  19. The lines x=y=z meets the plane x+y+z=1 at the point P and the sphere ...

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  20. Evaluate int 4x^5 dx

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