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Obtain the equations of the straight lin...

Obtain the equations of the straight lines passing through the point A(2, 0) & making 45 with the tangent at A to the circle `(x + 2)^2 + (y-3)^2 = 25`. Find the equations of the circles each of radius 3 whose centres are on these straight lines at a distance of `5sqrt2` from A.

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Obtain the equations of the straight lines passing through the point A(2,0)o* making 45 with the tangent at A to the circle (x+2)^(2)+(y-3)^(2)=25. Find the equations of the circles each of radius 3 whose centres are on these straight lines at a distance of 5sqrt(2) from A.

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The equation of the straight line passing through the point (4,3) with slope 2 is 2x-y-5=0 .

Find the equations of the straight lines passing through the point (-3, 2) and making an angle of 45° with the straight line 3x-y+4=0 .

Find the equation of the straight line passing through the point (2, 5) and perpendicular to the line 2x+5y=31 .

Find the equations t the straight lines passing through the point (2,3) and inclined at an angle of 45^0 to the line \ 3x+y-5=0.

Find the equation of the straight lines passing through (2, -1) and making an angle of 45^0 with the line 6x+5y=8 .

The equation of straight line passing through the point (-3,2) and making an angle 45^(@ with the straight line 3x-y+4=0 is

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A DAS GUPTA-Circles-EXERCISE
  1. Find the equation of the circle passing through the points A(4,3). B(...

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  2. A circle touches both the x-axis and the line 4x-3y+4=0. Its centre is...

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  3. Obtain the equations of the straight lines passing through the point A...

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  4. The extremities of a diagonal of a rectangle are (-4,4) and (6,-1). A...

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  5. Tangents are drawn to the circle x^(2) + y^(2) = 12 at the points wher...

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  6. Find the equation of the tangent to the circle x^2 + y^2 - 80x - 60y +...

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  7. The tangent to the circle x^(2)+y^(2)=5 at the point (1, -2) also touc...

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  8. AB is a diameter of a circle. CD is a chord parallel to AB and 2CD = A...

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  9. Tangent drawn from the point P(4,0) to the circle x^2+y^2=8 touches it...

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  10. Find the coordinates of the point at which the circles x^2-y^2-4x-2y+4...

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  11. A straight line AB is divided at C so that AC=3CB. Circles are describ...

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  12. If from any point P on the circle x^2+y^2+2gx+2fy+c=0 tangents are dra...

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  13. If the chord of contact of the tangents from a point on the circle x^2...

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  14. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

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  15. Tangents are drawn from the point (h,k) to ^circle x^2+y^2 =a^2; Prove...

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  16. Find the equation of the circle which has for its diameter the chord o...

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  17. If y=mx be the equation of a chord of the circle prove that the circle...

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  18. Prove that the circle x^2 + y^2-6x-4y+9=0 bisects the circumference of...

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  19. The equation of the circle on the common chord of the circles (x-a)^(2...

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  20. Find the equation of the circle passing through the intersection of th...

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