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Show that the common tangents to the cir...

Show that the common tangents to the circles `x^(2)+y^(2)-6x=0andx^(2)+y^(2)+2x=0` form an equilateral triangle.

A

equilateral

B

isosceles

C

right angled

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
a
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VMC MODULES ENGLISH-CIRCLES-LEVEL-1
  1. Statement 1: The number of common tangents to the circles x^(2) + y^(2...

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  2. The number of common tangents of the circles x^(2) +y^(2) =16 and x^(2...

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  3. Show that the common tangents to the circles x^(2)+y^(2)-6x=0andx^(2)+...

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  4. The circles having radii r(1) and r(2) intersect orthogonally. The len...

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  5. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

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  6. If the line y = mx - (m-1) cuts the circle x^2+y^2=4 at two real and d...

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  7. The equation of the circle of radius 2sqrt(2) whose centre lies on the...

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  8. Two tangents to the circle x^2 +y^2=4 at the points A and B meet at P(...

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  9. A foot of the normal from the point (4, 3) to a circle is (2, 1) and a...

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  10. If the common chord of the circles x^(2) + ( y -lambda)^(2) =16 and x^...

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  11. The equation of a circle is x^2+y^2=4. Find the center of the smallest...

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  12. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

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  13. A square is formed by following two pairs of straight lines y^(2) - 14...

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  14. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

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  15. The area bounded by circles x^2 +y^2=r^2, r = 1, 2 and rays given by 2...

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  16. The equation of circle touching the |y| = x at a distance sqrt2 units ...

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  17. The line y=mx+c cuts the circle x^2 + y^2 = a^2 at two distinct points...

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  18. If the centroid of an equilateral triangle is (1,1) and having two ...

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  19. The equation of the circle inscribed in the triangle formed by the coo...

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  20. The equation of a circle with origin as centre and passing through t...

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