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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. Consider the family of planes x+y+z=c where c is a parameter intersect...

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  3. Equation of the line through the point (1, 1, 1) and intersecting the ...

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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 cutting coordinate axes in A, B, C is at a constant d...

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  8. Equation of any plane containing the line (x-x1)/(a)=(y-y1)/(b)=(z-z1)...

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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. Consider the plane through (2, 3, -1) and at right angles to the vecto...

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  12. A plane passes through a fixed point (a, b, c) and cuts the axes in A,...

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

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  14. Consider the lines x=y=z and line 2x+y+z-1=0=3x+y+2z-2, then

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  15. If p1, p2, p3 denote the perpendicular distance of the plane 2x-3y+4z+...

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  16. A line segment has length 63 and direction ratios are 3, -26. The comp...

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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. A rod of length 2units whose one end is (1, 0, -1) and other end touch...

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