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For the variable t, the locus of the poi...

For the variable t, the locus of the points of intersection of lines `x-2y=t` and `x+2y=(1)/(t)` is

A

the straight line x = y

B

the circle with centre at the origin and radius 1

C

the ellipse with centre at the origin and one focus `((2)/(sqrt(5)),0)`

D

the hyperbola with centre at the origin and one focus `((sqrt(5))/(2),0)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2013-MULTIPLE CHOICE QUESTIONS
  1. The locus of the midpoints of the chords of an ellipse x^(2)+4y^(2)=4 ...

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  2. A point moves so that the sum of squares of its distances from the poi...

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  3. For the variable t, the locus of the points of intersection of lines x...

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  4. Let P=(("cos"(pi)/(4),-"sin"(pi)/(4)),("sin"(pi)/(4),"cos"(pi)/(4))) a...

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  5. The number of solutions of the equation x+y+z=10 in positive integers ...

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  6. For 0 le P, Q le (pi)/(2), if sin P+cos Q=2, then the value of tan((P+...

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  7. If alpha and beta are the roots of x^(2)-x+1=0, then the value of alph...

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  8. The value of the integral int(-1)^(+1){(x^(2013))/(e^(|x|)(x^(2)+cos x...

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  9. Let f(x)=2^(100)x+1, g(x)=3^(100)x+1. Then the set of real ...

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  10. The limit of x sin(e^(1//x)) as x to 0

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  11. Let I=((1,0,0),(0,1,0),(0,0,1)) and P=((1,0,0),(0,-1,0),(0,0,-2)). The...

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  12. If alpha, beta are the roots of the quadratic x^(2)+ax+b=0, (b ne 0), ...

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  13. The value of 1000[(1)/(1xx2)+(1)/(2xx3)+(1)/(3xx4)+……+(1)/(999xx1000)]...

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  14. The value of the determinant |(1+a^(2)-b^(2),2ab,-2b),(2ab,1-a^(2)+b^...

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  15. If the distance between the foci of an ellipse is equal to length of t...

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  16. For the curve x^(2)+4xy+8y^(2)=64 the tangents are parallel to the x-a...

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  17. The value of I=int(0)^((pi)/(4))(tan^(n+1)x)dx+(1)/(2)int(0)^((pi)/(2)...

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  18. Let f(theta)=(1+sin^(2)theta)(2-sin^(2)theta). Then for all values of ...

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  19. Let f(x)={{:(x^(3)-3x+2", "xlt2),(x^(3)-6x^(2)+9x+2", " x ...

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  20. The limit of sum(n=1)^(1000)(-1)^(e )x^(e ) as x to oo

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