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Find value of lambda if two lines having...

Find value of `lambda` if two lines having direction ratios 1, -2, 3 and `2- lambda , 1+ lambda, - lambda, ` are perpendicular
to each other

A

1

B

`-1`

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
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  2. If the lines (x-1)/2=(y+1)/3=z/(5t-1) and (x+1)/(2s+1)=y/2=z/4 are p...

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  3. Find value of lambda if two lines having direction ratios 1, -2, 3 and...

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  4. If plane passes through the point (1, 1,1) and is perpendicular to the...

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  5. Find the equation of a plane containing the line of intersection of...

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  6. The plane passing through the point (-2, -2, -3) and containing the ...

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  7. Equation of plane parallel to 3x + 4y + 5z - 6 = 0, 6x + 8y + 10z - 16...

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  8. If the plane 3x - 4y + 5z = 0 is parallel to (2x-1)/4=(1-y)/(3)=(z-2)...

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  9. Find the foot of perpendicular from (0, 2, 3) to the line (x-3)/2= (...

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  11. Prove that the acute angle between two diagonals of a cube is cos^-1(1...

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  12. The distance of a plane 3x + 4y - 5z = 60 from origin

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  13. The equation of line through the point (2, -1, 3) and which is equall...

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  14. The lines (x-1)/1=(y-2)/2=(z-3)/(3) and (x-1)/1=y/3 =z/4 are

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  15. The equation of the plane through the line of intersection of the plan...

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  16. Lines vecr = veca(1) + lambda vecb(1) and vecr = veca(2) + svecb(2) wi...

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  17. The equation of a plane through the point (2, 3, 1) and (4, -5, 3) a...

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  18. The line (x-4)/1=(y-2)/1=(z-k)/2 lies exactly on the plane 2x=4y+z=7 t...

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  19. The angle between diagonal of a cube and diagonal of a face of the c...

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  20. A point at a distance of sqrt(6) from the origin which lies on the s...

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