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Angle between the straight lines (x-5)/7...

Angle between the straight lines `(x-5)/7=(y+2)/-5=z/1` and `x/1=y/2=z/3` is

A

`pi/4`

B

`pi/3`

C

`pi/2`

D

`pi`

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The angle between the straight lines (x-4)/(2)=(y-5)/(0)=(z-6)/(0) and (3-x)/(3)=(y-7)/(0)=(z-3)/(0) is -

Find the angle between the lines (x-5)/(7)=(y+2)/(-5)=(z-9)/(1) and (x-5)/(2)=(y-10)/(2)=(z-9)/(-4) .

Slow that the lines (x-5)/(7)=(y+2)/(-5)=(z)/(1) and (x)/(1)=(y)/(2)=(z)/(3) are perpendicular to each other.

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The angle between the straight lines x=5,y=4t+5,z=4t+3 and (x-5)/(5)=(y-6)/(0)=(z-(1)/(2))/(0) is-

The angle between the lines (x+1)/(3)=(y-2)/(-2)=(z+4)/(1) and (x-3)/(1) =(2y-3)/(5)=(z-2)/(2) is -

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The angle between the pair of lines (x-2)/(1)=(y+3)/(-2)=(z-4)/(2) and (x+1)/(-6)=(y-2)/(-3)=(z+5)/(2) is -

Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (z)/(4) and perpendicular to the plane containing the straight lines (x)/(3)= (y)/(4)= (z)/(2) and (x)/(4) = (y)/(2) = (z)/(3) is

UNITED BOOK HOUSE-SET 1-EXERCISE
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  2. The area (in squnit) bounded by the curve y= sinx, x-axis and the two ...

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  5. If the odds against an event are 4:5, then the probability of occurren...

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  6. The variance of a binomial distribution with parameters n and p is-

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  7. On the set Q^+ of all positive rational numbers if the binary operatio...

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  8. Solve: tan^(-1)(cotx)+cot^(-1)(tanx)= pi/4

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  9. Prove that |[y+z,z,y],[z,z+x,x],[y,x,x+y]| =4xyz

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  10. If A=[[2,5],[1,3]] and AB = [[-13,8],[-8,5]] find B.

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  11. Evaluate:lim(x to 0)((a^x-b^x)/x)

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  12. If x= t log t,y = (log t)/t, find (dy)/(dx) when t=1

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  13. Evaluate: int (1-1/x^2)e^(x+1/x)dx

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  14. Solve: (dy)/(dx) = 1-x+y-xy

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  15. Show that the function f(x) = 2/3 x^3-6x^2+20x-5 has neither a maximum...

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  16. The radius of a circular plante increased at the rate of 0.002 cm/s. H...

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  17. Find the acute angle between z-axis and the straight line joining the ...

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  18. Prove that the equation of the plane which passes through the point (2...

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  19. Show that the probability that exactly one of the events A and B occur...

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  20. Show that tan^(-1)(1/sqrt3tanx/2)=1/2 cos^(-1)(1+2cosx)/(2+cosx).

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