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

The lines `(x-2)/1=(y-3)/1=(z-4)/-k` and `(x-1)/k=(y-4)/2=(z-5)/1` are coplaner if

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The lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 are coplanar if a. k=1or-1 b. k=0or-3 c. k=3or-3 d. k=0or-1

The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)/(1) are coplanar if __

The lines (x)/(1)=(y)/(2)=(z)/(3) and (x-1)/(-2)=(y-2)/(-4)=(3-z)/(6) are

If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2) and (x-1)/(3k)=(y-5)/1=(z-6)/(-5) are at right angle, then find the value of k .

Prove that the stright line (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-3)/(4)=(z-4)/(5) are coplanar and find the equation of the plane in which they lie.

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5 .

If the shortest distance between the lines (x-1)/(1)=(y-1)/(1)=(z-1)/(1) and (x-2)/(1)=(y-3)/(1)=(z-4)/(1) is equal to sqrt(K) unit, then the value of K is -

If the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=(z-0)/(1) intersect, then the coordinates of their point of intersection are -

If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersect, then k is equal to (1) -1 (2) 2/9 (3) 9/2 (4) 0

find the angle between the pair of lines (x+3)/3=(y-1)/5=(z+3)/4 and (x+1)/1=(y-4)/1=(z-5)/2

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Two systems of rectangular axes have the same origin. If a plane cu...

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  2. The plane, which passes throught the point (3,2,0) and line (x - 3)/1 ...

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

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  4. The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1 and ...

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  5. A tetrahedron has vertices of O(0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C...

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  6. The radius of the circle in which the sphere x^(2)+y^(2)+z^(2)+2x-2y-4...

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  7. A sphere of constant radius 2k passes through the origin and meets t...

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  8. A plane passes through a fixed point (a,b,c). The locus of the foot of...

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  9. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

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  10. The equation of the plane through the intersection of the planes x+2y...

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  11. The plane 4x+7y+4z+81=0 is rotated through a right angle about its ...

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  12. The vector equation of the plane passing through the origin and the ...

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  13. The lines vec r= vec a+lambda( vec bxx vec c)a n d vec r= vec b+mu( v...

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  14. The projection of the line (x+1)/(-1)=(y)/(2)=(z-1)/(3) on the plane x...

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  15. The direction cosines of a line satisfy the relations lamda(l+m)=nandm...

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  16. The intercepts made on the axes by the plane which bisects the line jo...

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  17. The pair of lines whose direction cosines are given by the equation...

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  18. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha,...

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  19. A line with positive direction cosines passes through the point P(2, -...

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  20. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

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