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The line x + y tna theta = cos theta to...

The line `x + y tna theta = cos theta ` touches the circle `x ^(2) + y ^(2) = 4` for

A

`theta =pi //6`

B

`theta = pi//3`

C

`theta =pi//2`

D

no value of `theta`

Text Solution

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. Find the equation of the circle passing throught (1,1) and the points ...

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  2. An equation of the normal at the point (2,3)to the circle x ^(2)+ y^(2...

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  3. The line x + y tna theta = cos theta touches the circle x ^(2) + y ^(...

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  4. If (x,3) and (3,5) are the extermities of a diameter of a circle with ...

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  5. The circle (x-r) ^(2) + (y-r) ^(2) =r ^(2) touches

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  6. The centre and the radius of the circle with the segment of the line x...

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  7. The centre of a circle passing through the points (0, 0), (1, 0) and t...

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  8. Equation of a circle which touches y-axis at (0,2) and cuts ff an inte...

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  9. The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each...

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  10. The tangent at any point to the circle x^2+y^2=r^2 meets the coordinat...

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  11. Equation of a circle with centre C (h,k) and radius 5 such that h ^(2...

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  12. If S -= x ^(2) + y ^(2) - 2x - 4y - 4=0, L -= 2x + 2y + 15=0 and P (3,...

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  13. If POR is the triangle formed by the common tangents to the circles x^...

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  14. A rectangle ABCD is inscribed in the circle x^2+y^2+3x+12y+2=0 . If th...

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  15. A line makes equal intercepts of length a on the coordinate axes. A ci...

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  16. alpha,beta and gamma are parametric angles of three points P, Q and R ...

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  17. P is a point on the circle x^2+y^2=9 Q is a point on the line 7x+y+3=0...

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  18. If the circle (x- a)^2+y^2 =25 intersect the circle x^2+(y -b)^2=16 in...

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  19. If O Aa n dO B are equal perpendicular chords of the circles x^2+y^...

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  20. Find the equation of the circle passing through (1,0)a n d(0,1) and ha...

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