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The acute angle between the normals to t...

The acute angle between the normals to the planes the points (3, 2, 3) and (-3, -1, 5) is -

A

`"cos"^(-1)(3)/(7)`

B

`"cos"^(-1)(2)/(7)`

C

`"cos"^(-1)(6)/(7)`

D

`(pi)/(3)`

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
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  3. The acute angle between the normals to the planes the points (3, 2, 3...

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  4. If the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=(z-...

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  5. The equation of the line passing through the point (2, -3, 1) and para...

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  6. If the straight line joining the points (4, -3, 2) and (3, -1, 5) is p...

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  7. If veca=hati-2hatj+3hatk and vecb=-2hati+hatj-2hatk, then the value o...

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  8. A unit vector perpendicular to both the vectors hati+hatj and hatj+hat...

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  9. If the vectors vec alpha=hati+3hatj+hatk, vec beta=2hati-hatj-hatk an...

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  10. If |veca xx vecb|^2+(veca*vecb)^(2)=196 and |vecb|=2, then the value o...

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  11. If e^(y)+xy=e^(2) then the value of (d^(2)y)/(dx^(2)) at x=0 is -

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  12. Derivative of sin^(-1)x w.r.t. cos^(-1) sqrt(1-x^(2)) is -

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  13. If x=a(theta+sin theta), y=a(1-cos theta), then the value of (dy)/(d...

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  14. The equation ax^(2)+bx+c=0 has one real root between 0 and k. If 4a...

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  15. If lim(x to oo) [ (x^(3)+1)/(x^(2)+1)-(ax+b)]=2, then the values of a ...

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  17. The value of lim(x to 0) (1-3x)^((3)/(x)) is equal to -

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  18. If y=2sin^(- 1)((x-2)/sqrt(6))-sqrt(2+4x-x^2) then prove that dy/dx at...

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  19. If f(x)=tan^(-1)((3x-x^(3))/(1-3x^(2))) and phi(x)=cos^(-1)((1-x^(2)...

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  20. If y=sec(tan^(-1)x), then (dy)/(dx) is equal to -

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