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The equation of the ellipse with focus (...

The equation of the ellipse with focus (-1,1) directrix `x-y+3=0` and eccentricity is a.`7x^2+2x y+7y^2+10 x+10 y+7=0` b.`7x^2+2x y+7y^2+10 x-10 y+7=0` c. `7x^2+2x y+7y^2+10 x-10 y+7=0` d. None of these

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The equation of the ellipse whose focus is (1, -1) , directrix is the line x-y-3=0 and eccentricity is 1/2 , is: (A) 7x^2 + 2xy + 7y^2 + 7 = 0 (B) 7x^2 + 2xy+7y^2 + 10x - 10y - 7 = 0 (C) 7x^2 + 2xy + 7y^2 - 10x + 10y + 7 = 0 (D) none of these

The equation of the parabola whose vertex is (a ,0) and the directrix has the equation x+y=3a is a. x^2+y^2+2x y+6a x+10 a y+7a^2=0 b. x^2-2x y+y^2-6a x+10 a y+7a^2=0 c. x^2-2x y+y^2+6a x+10 a y+7a^2=0 d.None of these

The equation of the parabola whose focus is (1,-1) and the directrix is x+y+7=0 is (a) x^2+y^2-2x y-18 x-10 y=0 (b) x^2+y^2-18 x-10 y-45=0 (c) x^2-18 x-10 y-45=0 (d) x^2+y^2-2x y-18 x-10 y-45=0

The equation of the line through (-1,5) making an intercept of -2 on y-axis is (i) x+7y+2=0 (ii) 7x+y+2=0 (iii) x-7y+2=0 (iv) 7x-y+2=0

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The equation of the line passing through the center and bisecting the chord 7x+y-1=0 of the ellipse (x^2)/1+(y^2)/7=1 is (a) x=y (b) 2x=y (c) x=2y (d) x+y=0

The equation of the line passing through the center and bisecting the chord 7x+y-1=0 of the ellipse (x^2)/1+(y^2)/7=1 is

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7x-15y-2=0 x+2y-3=0

RD SHARMA ENGLISH-ELLIPSE-All Questions
  1. For the ellipse 12 x^2+4y^2+24 x-16 y+25=0 a.centre is (-1,2) b. leng...

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  2. The directrix of the parabola x^2-4x-8y + 12=0 is

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  3. The equation of the ellipse with focus (-1,1) directrix x-y+3=0 and ec...

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  4. The equation of the circle drawn with the two foci of x^2/a^2+y^2/b^2...

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  5. If the latus rectum of an ellipse is equal to the half of minor axis, ...

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  6. The eccentricity of the ellipse if the distance between the foci is ...

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  7. The eccentricity of ellipse, if the distance between the foci and ...

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  8. The difference between the lengths of the major axis and the latus r...

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  9. The eccentricity of the conic 9x^2+25 y^2=225 is a.2//5 b.4//5 c. 1//3...

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  10. The latus rectum of the conic 3x^2+4y^2-6x+8y-5=0 is a.3 b. (sqrt(3))/...

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  11. Find the equations of the tangents drawn from the point (2, 3) to t...

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  12. The eccentricity of the ellipse 4x^2+9y^2+8x+36 y+4=0 is a.5/6 b. 3/5 ...

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  13. The eccentricity of the ellipse 4x^2+9y^2=36 is a.1/(2sqrt(3)) b. 1/...

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  14. The eccentricity of the ellipse 5x^2+9y^2=1 is a.2//3 b. 3//4 c. 4//5 ...

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  15. For the ellipse x^2+4y^2=9 a. the eccentricity is 1/2 b. the latus...

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  16. If the latus rectum of an ellipse is equal to the half of minor axis, ...

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  17. An ellipse has its centre at (1,-1) and semi major axis =8 and it pass...

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  18. Find the sum of the focal distances of any point on the ellipse 9x^...

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  19. If (2,4) and (10,10) are the ends of a latus rectum of an ellipse with...

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  20. The equation (x^2)/(2-lambda)+(y^2)/(lambda-5)+1=0 represents an elips...

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