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If the line l x+m y-1=0 touches the circ...

If the line `l x+m y-1=0` touches the circle `x^2+y^2=a^2` , then prove that `(l , m)` lies on a circle.

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RD SHARMA ENGLISH-THE CIRCLE-All Questions
  1. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then f...

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  2. Show that the point (x ,y) given by x=(2a t)/(1+t^2)a n dy=((1-t^2)/(1...

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  3. If the line l x+m y-1=0 touches the circle x^2+y^2=a^2 , then prove th...

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  4. Find the radius of the circle (xcosalpha+ysinalpha-a)^2+(xsinalpha-yco...

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  5. Find the equation to the circle which passes through the origin and...

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  6. On the joining (1,0)a n d(3,0) be and equilateral triangle is drawn, h...

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  7. If the point (k+1,k) lies inside the region bound by the curve x=sqrt(...

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  8. If the point (2,k) lies outside the circles x^2+y^2+x-2y-14=0a n dx^2+...

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  9. A circle has radius 3u n i t s and its centre lies on the line y=x-1. ...

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  10. Find the equation of the circle which touches both the axes and the li...

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  11. A circle of radius 2 lies in the first quadrant and touches both the a...

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  12. Find the equation of a circle of radius 5 which lies within the circle...

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  13. Find the equation of the circle whose radius is 5 and which touches th...

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  14. The circle (x-a)^2+(y-a)^2=a^2 is rolled on the y-axis in the positive...

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  15. Find the equation of the image of the circle x^2+y^2+8x-16y+64=0 in th...

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  16. A circle of radius 5u n i t s touches the coordinate axes in the first...

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  17. Find the equation of a circle which passes through the point (2,0) a...

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  18. Find the equation of a circle which touches y- axis at a distance of 4...

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  19. If the circle x^2+y^2+2ax+8y+16=0 touch x-axis , then, t h e val...

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  20. If the abscissae and the ordinates of two point Aa n dB be the roots o...

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