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In DeltaABC, angleB is a right angle. Th...

In `DeltaABC, angleB` is a right angle. The medians AD and BE are at right angles. Then angle C is

A

`60^(0)`

B

`tan^(-1)((1)/(sqrt(2)))`

C

`tan^(-1)sqrt(2)`

D

`90^(0)`

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The correct Answer is:
B
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AAKASH SERIES-APPENDICES (REVISION EXERCISE)-DOT PRODUCT OF TWO VECTORS
  1. If AD, BE and CF are the medians of DeltaABC, then the value of bar(...

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  2. baralpha=a(1)bari+a(2)barj+a(3)bark where a(1), a(2), a(3) are rationa...

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  3. In DeltaABC, angleB is a right angle. The medians AD and BE are at rig...

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  4. The distance between the line vecr = 2hati - 2hatj + 3hatk + lambda (...

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  5. O' is the origin in the cartesian plane. From the origin 'O' take poin...

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  6. Let there be two points A, B on the curve y=x^(2) in the plane XOY sat...

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  7. If A,B,C,D are four points in space satisfying bar(AB).bar(CD)=k[|bar...

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  8. If the vectors barb=(tan alpha, -1, sqrt(4"sin"(alpha)/(2))), barc=(ta...

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  9. If baru and barv are unit vectors at an angle alpha and bara unit vect...

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  10. The angle between any two opposite pair of edges of a regular tetrahed...

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  11. If |veca|=2, |vecb|=3 and |2veca-vecb|=5, then |2veca+vecb| equals

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  12. If the vectors veca = hati-hatj+2hatk, vecb=2hati+4hatj+hatk and vecc=...

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  13. Let veca and vecb be two unit vectors. If the vectors vecc=hata+2hatb ...

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  14. If hata, hatb & hatc are unit vectors satisfying sqrt(3) veca-vecb=vec...

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  15. Let veca=2hati-hatj +hatk, vecb=hati+2hatj-hatk and vecc=hati+hatj-2h...

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  16. Equation of sphere whose centre is at 7bari-4barj+bark and radius |3b...

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  17. The cartesian equation of the sphere whose centre is C(5, 2, 3) and w...

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  18. The centre and radius of the sphere r^(2) - 2r. (3i + 4j - 5k) + 1 = 0...

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  19. Equation of the sphere described on the join of the points bara=2bari+...

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  20. The radius of the sphere (barr-2bari+3barj-bark). (barr+3bari-barj+2b...

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