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Let x^2+3y^2=3 be the equation of an ell...

Let `x^2+3y^2=3` be the equation of an ellipse in the `x-y` plane. `Aa n dB` are two points whose position vectors are `-sqrt(3) hat ia n d-sqrt(3) hat i+2 hat kdot` Then the position vector of a point `P` on the ellipse such that `/_A P B=pi//4` is a. `+- hat j` b. `+-( hat i+ hat j)` c. `+- hat i` d. none of these

A

`pm hatj `

B

`pm (hati + hatj)`

C

`pm hati`

D

none of these

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A
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -2 : CONCEPT APPLICATOR
  1. The vectors bara (x) = cos xbar i + sin xbar j ,bar b(x)=xbar i + sin ...

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  2. The position vectors of the point A, B, C and D are 3hati-2hatj -hatk,...

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  3. Let x^2+3y^2=3 be the equation of an ellipse in the x-y plane. Aa n dB...

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  4. Let triangle PQR be a triangle. Let veca = vec(QR) , vecb = vec(RP) a...

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  5. If vec x and vec y are two non-collinear vectors and ABC is a triangle...

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  6. If vec u ,"" vec v , vec w are noncoplanar vectors and p, q are re...

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  7. Lelt two non collinear unit vectors hata and hatb form and acute angle...

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  8. A non-zero vecto veca is such tha its projections along vectors (hati ...

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  9. veca, vecb ,vec c are three vectors with magnitude |veca| = 4, |vecb|...

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  10. If the two adjacent sides of two rectangles are represented by vect...

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  11. OA, OB, OC are the sides of a rectangular parallelopiped whose diagona...

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  12. If the positive numbers a, b and c are the pth, qth and rth terms of G...

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  13. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

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  14. Let vecOB = hati + 2hatj + 2hatk " and" vecOA = 4hati + 2hatj + 2hatk ...

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  15. If a1 , a2 and a3 are three numbers satisfying a1^2 + a2^2 +a3^2 = 1 ,...

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  16. Let veca , vecb and vec c be non coplanar unit vectors equally incl...

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  17. Let veca , vecb, vec c be three non coplanar vectors , and let vecp ,...

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  18. Let veca= 2hati+hatj -2hatk and vecb=hati+hatj. If vec c is a vecto...

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  19. Let vec r , vec a , vec b and vec c be four non zero vectors such tha...

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  20. Let vec r = (veca xx vecb) sin x + (vecb + vec c) cos y + 2 (vec c xx...

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