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Let a,b and c be distinct non-negative n...

Let a,b and c be distinct non-negative numbers and the vectors `ahati+ahatj+chatk,hati+hatk,chati+chatj+bhatk` lie in a plane, then the quadratic equation `ax^(2)+2cx+b=0` has

A

real and equal roots

B

real unequal roots

C

unreal roots

D

both roots real and positive

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The correct Answer is:
A
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FIITJEE-VECTOR-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. The component of hati in the direction of vector hati+hatj+2hatk is

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  2. Let a,b and c be distinct non-negative numbers and the vectors ahati+a...

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  3. IF bara,barb,barc are three vectors such that each is inclined at an a...

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  4. bara times (barb times barc) +barb times (barc times bara)+ barc time...

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  5. Let O be an interior point of DeltaABC such that bar(OA)+2bar(OB) + ...

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  6. If bara barb barc are three nonzero vectors no two of which are collin...

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  7. If bara=hati+hatj+hatk, bara.barb=2 and bara times barb=2hati+hatj-3ha...

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  8. If bara,barb barc and bard are non-zero, non-collinear vectors such th...

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  9. IF barx and bary non zero linearly independent vectors such that |barx...

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  10. If bara,barb and barc be there non-zero vectors, no two of which are c...

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  11. If bara and barb are unit vectors and barc satisfies 2(hata times hatb...

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  12. Let barb = -1hati+4hatj+6hatk and barc=2hati-7hatj-10hatk IF bara be a...

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  13. A unit vector is orthogonal to 5hati+2hatj+6hatk and is coplanar to 2h...

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  14. IF (sec^2A)hati+hatj+hatk, hati+(sec^2 B)hatj+hatk and hati+hatj+(sec^...

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  15. Let bara,barb and barc be non-zero vectors such that (bara times barb)...

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  16. In a triangle OAB, E is the midpoint of OB and D is a point on AB such...

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  17. Unit vector barc is inclined at an angle theta to unit vector bara tim...

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  18. Let vec(alpha),vec(beta) and vec(gamma be the unit vectors such that v...

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  19. Unit vectors hata and hat b are inclined at an angle 2theta and |hat a...

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  20. IF the non-zero vectors bara and barb are perpendiculars to each other...

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