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The interval in which the value of lambd...

The interval in which the value of `lambda` should lie if the line `3x-4y=lambda` cuts the circle `x^(2)+y^(2)-4x-8y=5` in real points is

A

(15,35)

B

(35,15)

C

(-35,15)

D

[-15,35]

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
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  2. The circle x^(2)+y^(2)-4x+4y-1=0 cuts the positive coordinate axes in ...

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  3. The interval in which the value of lambda should lie if the line 3x-4y...

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  4. The line x+y=1 cuts the coordinate axes at P and Q and a line perpendi...

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  5. Let x( x-a) + y (y-1) =0 be a circle. If two chords from (a,1) bisec...

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  6. If two distinct chords, drawn from the point (p,q) on the circle x^(2)...

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  7. The point of contact of the line 3x-4y-25=0 with the circle x^(2)+y^2=...

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  8. Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y 1...

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  9. The piont where the line 4x - 3y + 7 = 0 touches the circle x^(2) + y^...

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  10. If the line y=mx+asqrt(1+m^2) touches the circle x^2+y^2=a^2, then the...

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  11. If the tangent to the circle x^2+y^2=5 at (1,-2) also touches the circ...

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  12. The line y=x+asqrt2 touches the circle x^2+y^2=a^2 at P. The coordinat...

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  13. The length of the tangent from (6,8) to the circle x^(2)+y^(2)=4 is

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  14. Find the length of the tangent form (1,3) to the circle x^(2) + y^(2...

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  15. The length of the tangent from (0,0) to the circle 2x^(2)+2y^2+x-y+5=0...

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  16. The length of the tangent from to the circle x^(2)+y^(2)+2gx+2fy+c=0 t...

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  17. The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y...

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  18. The length of the tangent from the point (-1,1) to the circle x^(2)+y^...

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  19. If the length of the tangent from (2,3) to circle x^(2)+y^(2)+6x+2ky-6...

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  20. If the length of the tangent from two points A,B to a circle are 6,7 r...

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