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IF xy =1 + sin ^(2) theta (thea is real ...

IF `xy =1 + sin ^(2) theta (thea` is real parameter) be a family of rectangular hyperbolas and `Delta` is the area of the triangle formed by any tangent with coordinate axes, then

A

`1.5 le Delta le 3`

B

`1 le Delta le 4`

C

`2 le Delta le 4`

D

`1 le Delta le 3`

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The correct Answer is:
C
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FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
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  2. For hyperbola whose center is at (1, 2) and the asymptotes are paralle...

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  3. IF xy =1 + sin ^(2) theta (thea is real parameter) be a family of rect...

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  4. The fouce of the rectangular hyperbola (x-h) (y-k) =p^(2) is

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  5. The chords (tx + my - 1) = 0 (t, m being parameters) of the curve x^2-...

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  6. If a rectangular hyperbola circum scribes a triangle, then it also pas...

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  7. The area of the triangle with vertices (a, 0), (a cos theta, b sin the...

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  8. The medians AA' and BB' of triangle ABC intersect at right angle, If B...

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  9. Given a fixed circle C and a line L through the centre O of C. Take a ...

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  10. Locous of the intersection of perpendicular tangents drawn to the curv...

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  11. A(3,0) and B(6,0) are two fixed points and U(x1,y1) is a variable poi...

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  12. Two lines 5x+3^alphay=1 and alphax-y=0 are perpendicular to each other...

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  13. The point on the curve y = x ^(2) + 4x + 3 which is nearest from the l...

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  14. Consider the parabola x ^(2) + 4x - 2y + 6 = 0. If its chord AB 2mx - ...

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  15. For x in R, the maximum value of sqrt(x^4 - 5x^2 – 8x + 25) - sqrt( x^...

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  16. How many tangents to the circle x^2 + y^2 = 3 are normal tothe ellips...

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  17. If the line x + y -1=0 is a tangent to a parabola with focus (1,2) at ...

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  18. P is a point on the parabola y^2= 4ax and PQ is its focal chord. If PT...

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  19. Let A be the area between co-ordinate axis, y ^(2) =x -1,x ^(2) =y -1 ...

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  20. An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...

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