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The equation of the common tangent to th...

The equation of the common tangent to the curves `y^(2)=8x` and `xy=-1` is-

A

`3y= 9x+2`

B

`y=x+2`

C

`y=2x+1`

D

`2y=x+8`

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 5
  1. The angle of intersection of the cuves y=x^(2) and 6y=7-x^(3) at (1,...

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  2. If the tangent at the point p on the circle x^(2)+y^(2) +6x +6y-2=0 me...

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  3. The equation of the common tangent to the curves y^(2)=8x and xy=-1 is...

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  4. Area ( in square unit ) bounded by the curve y= sqrt(x) , the straigh...

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  5. The area bounded by the coordinate axes and the curve sqrt(x) + sqrt(...

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  6. The normal to the curve x= a(1 + cos theta ) , y= a sin theta at the ...

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  7. If the area bounded by the parabola y= ax^(2) and x= ay^(2) , a gt 0...

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  8. The locus of the middle point of the intercept of the tangent drawn fr...

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  9. Which one of the following definite integrals represents the area inc...

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  10. A normal to the parabola y^(2)=5x makes an angle 45^(@) with the x-ax...

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  11. If the tangents to the graph of the function y= f(x) make angle (pi)/(...

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  12. The maximum value of xy when x+2y=8 is

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  13. The function f(x)= tan^(-1) (sin x + cos x ), x gt 0 is always an inc...

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  14. The points of extrema of the function f(x)= int(0)^(x)(sin t)/(t)dt i...

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  15. The minimum value of the function f(x)= sin x + cos x is-

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  16. The perimeter of a sector is p , then the area of the sector is maxim...

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  17. The value of a ( a ge 3) for which the sum of the cubes of the roots ...

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  18. If f(x)= x^(3) + (1)/(x^(3) )(x ne 0), then its greatest value is-

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  19. The nearest point on the line 3x- 4y = 25 from the origin is

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  20. If the slope of the tangent at (x, y) to a curve passing through the p...

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