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The line (x-a)/4=(y-b)/3=(z-c)/0 is...

The line `(x-a)/4=(y-b)/3=(z-c)/0` is

A

parallel to x-axis

B

parallel to z-axis

C

parallel to xy-plane

D

parallel t yz-plane

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The straight line (x-3)/3=(y-2)/1=(z-1)/0 is (a)Parallel to x-axis (b)Parallel to the y-axis (c)Parallel to the z-axis (d)Perpendicular to the z-axis

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

Find the angle between the line (x-1)/3=(y-1)/2=(z-1)/4 and the plane 2x+y-3z+4=0.

If angle theta bertween the line (x+1)/1=(y-1)/2=(z-2)/2 and the plane 2x-y+sqrt(lambda)z+4=0 is such that sin theta=1//3, the value of lambda is a. -3/5 b. 5/3 c. -4/3 d. 3/4

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 -

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Perpendiculars are drawn from points on the line (x+2)/2=(y+1)/(-1)=z/3 to the plane x + y + z=3 The feet of perpendiculars lie on the line (a) x/5=(y-1)/8=(z-2)/(-13) (b) x/2=(y-1)/3=(z-2)/(-5) (c) x/4=(y-1)/3=(z-2)/(-7) (d) x/2=(y-1)/(-7)=(z-2)/5

Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and the plane x+y+z+3=0.

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UNITED BOOK HOUSE-SET 6-EXERCISE
  1. overset(pi//2)underset(-pi//2)int |sin x|dx =

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  2. If vec a= 2 hat i- hat j+ hat k and vec b = - hat i+3 hat j+4 hat k,th...

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  3. The line (x-a)/4=(y-b)/3=(z-c)/0 is

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  4. A ball is drawn from the urn, If in this experiment of a drawing ball,...

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  5. If X is a random vairalbe, then for any constant a (neo) and b, var (a...

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  6. (Z,*) where a* b = a+b-ab for all a,b inZ prove that the given binary ...

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  7. Show that sin (cot^(-1) (tan cos^(-1)x)) =x

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  8. If A = [[x,1],[1,0]] and A^2 =I then find the value of x.

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  9. Find the value of |[1,1,1],[4,3,2],[4^2,3^2,2^2]|

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  10. f(x) = { (kx+1, x le pi),( cos x, x >pi):} If f(x) is continous at x =...

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  11. if y = (x+sqrt(x^2+a^2))^n then prove that (dy)/(dx)= (ny)/(sqrt(x^2+a...

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  12. Evaluate: int((cosx+xsinx)/(x(x+cosx)))dx.

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  13. Verify Rolle's theorem for the function f(x) = x^2+2x-8 in [-4,2]

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  14. Solve: (1+x^2)(dy)/(dx) = y+tan^(-1)x

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  15. If vec p is a unit vector and (vec x- vecp).(vec x+ vecp) = 8 then fin...

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  16. Find the intercepts made by the plane x-2y+3z-18=0 on the axes.

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  17. If P(A) = 5/13,P(B)= 6/13 and P(AuuB) = 7//13 then find P(bar A//B) a...

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  18. The mean and variance of a binomial distribution are 16 and 12 respect...

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  19. Prove that tan^(-1) {(sqrt(1+cos x)+sqrt(1-cosx))/(sqrt(1+cos x)-sqrt(...

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  20. Let A = [[1,0],[-1,7]] and I = [[1,0],[0,1]] then find the K when A^2=...

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