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Determine the nature of the quadrilatera...

Determine the nature of the quadrilateral formed by four lines `3x+4y -5=0, 4x-3y-5=0; 3x + 4y - 5 = 0 and 4x-3y + 5 = 0` Find the equation of the circle insc quadrilateral inscribed and circumscribing this quadrilateral.

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The correct Answer is:
square of side, 2 ; `x^(2) + y^(2) = 1; x^(2) + y^(2) = 2`
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MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. Find the equation of the circle passing through the point (– 6, 0) if ...

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  2. Find the equation of the circle which passes through the origin, meets...

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  3. Determine the nature of the quadrilateral formed by four lines 3x+4y ...

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  4. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

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  5. One of the diameters of the circle circumscribing the rectangle ABCD i...

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  6. Find the equations of straight lines which pass through the intersecti...

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  7. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  8. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  9. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  10. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  11. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  12. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  13. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  14. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  15. The equation of the line inclined at an angle of pi/4 to the X-a xi s ...

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  16. Consider a circles S with centre at the origin and radius 4. Four circ...

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

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  18. A variable circle passes through the point A(a ,b) and touches the x-a...

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  19. Consider a family of circles passing through two fixed points A (3,7) ...

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  20. The circle C : x^(2) + y^(2) + kx + (1 + k)y – (k + 1) = 0 passes thro...

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