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If the lines a1x+b1y+c1=0 and a2x+b2y+c2...

If the lines `a_1x+b_1y+c_1=0` and `a_2x+b_2y+c_2=0` cut the coordinae axes at concyclic points, then prove that `a_1a_2=b_1b_2`

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ARIHANT MATHS-CIRCLE -Exercise (Subjective Type Questions)
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  2. The circle x^2+y^2=1 cuts the x-axis at Pa n dQdot Another circle with...

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

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

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  8. Consider a curve ax^(2)+2hxy+by^(2)=1 and a point P not on the curve. ...

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

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

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  11. If P and Q are the points of intersection of the circles x^(2)+y^(2)+3...

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

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

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  14. Statement 1 : If a circle S=0 intersects a hyperbola x y=4 at four poi...

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

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  16. The locus of the mid-point of the chord of contact of tangents drawn f...

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  17. A tangent PT is drawn to the circle x^(2)+y^(2)=4 at the point P(sqrt3...

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  18. A tangent PT is drawn to the circle x^2 + y^2= 4 at the point P(sqrt3,...

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  19. The length of the diameter of the circle which touches the x-axis at ...

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  20. The circle passing through (1, -2) and touching the axis of x at (3,...

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