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If the straight line y= x sin alpha + a ...

If the straight line `y= x sin alpha + a sec alpha` is a tangent to the circle ` x^(2) + y^(2) = a^(2) ` then-

A

` cos 2 alpha=1`

B

`sin^(2) alpha =1`

C

`sin 2 alpha =1`

D

`tan^(2) alpha =2`

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The correct Answer is:
A
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 5
  1. The area (in square unit ) surrounded by the curve |x|+|y|=1 is-

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  2. The slope of the normal to the hyperbola (x^(2))/(a^(2))- (y^(2))/(b^(...

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  3. If the straight line y= x sin alpha + a sec alpha is a tangent to the ...

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  4. The angle between the pair of tangents drawn to the ellipse 3x^(2) + ...

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  5. The angle of intersection of the cuves y=x^(2) and 6y=7-x^(3) at (1,...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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