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Find the radius of the smalles circle wh...

Find the radius of the smalles circle which touches the straight line `3x-y=6` at `(-,-3)` and also touches the line `y=x` . Compute up to one place of decimal only.

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ARIHANT MATHS-CIRCLE -Exercise (Subjective Type Questions)
  1. Tangents are drawn from external poinl P(6,8) to the circle x^2+y^2 =...

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  2. 2x-y+4=0 is a diameter of a circle which circumscribes a rectangle ABC...

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  3. Find the radius of the smalles circle which touches the straight line ...

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  4. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

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  5. Let 2x^2 +y^2-3xy = 0 be the equation of a pair of tangents drawn from...

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  6. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

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  7. If the lines a1x+b1y+c1=0 and a2x+b2y+c2=0 cut the coordinae axes at c...

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  8. The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts o...

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  9. Find the condition on a, b, c such that two chords of the circle x^2 +...

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  10. Two straight lines rotate about two fixed points (-a, 0) and (a, 0) in...

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  11. The base AB of a triangle is fixed and its vertex C moves such that si...

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  12. Consider a curve ax^2 + 2hxy + by^2-1=0 and a point P not on the curve...

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  13. Tangents drawn from the point P(1,8) to the circle x^2 +y^2 -6x -4y-11...

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  14. The centres of two circles C(1) and C(2) each of unit radius are at a...

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  15. If P and Q are the points of intersection of the circles x^2+""y^2+...

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  16. If the circle x^2+y^2-4x-8y-5=0 intersects the line 3x-4y=m at two dis...

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  17. The circle passing through the point (-1,0) and touching the y-axis at...

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  18. The straight line 2x-3y = 1 divides the circular region x^2+ y^2 le6 i...

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  19. The two circles x^2+""y^2=""a x and x^2+""y^2=""c^2(c"">""0) touch eac...

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  20. The locus of the middle point of the chord of contact of tangents draw...

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