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Conic Sections ...

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  • Question 1
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    What is the area enclosed by $$|x|+|y|=1$$ ?

  • Question 2
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    Equation of the circle which passes through the centre of the circle $$x^{2} + y^{2} + 8x + 10y - 7 = 0$$ and is concentric with the circle $$2x^{2} + 2y^{2} - 8x - 12y - 9 = 10$$ is

  • Question 3
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    The centres of a set of circles, each of radius $$3$$, lie on the circle $${x}^{2}+{y}^{2}=25$$. The lotus of any point in the set is 

  • Question 4
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     The curve described parametrically by$$x = {t^2} + t + 1$$ and $$y = {t^2} - t + 1$$ represents 

  • Question 5
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    If $$2x - 3y = 5$$ and $$3x - 4y = 7$$ are the equation of $$2$$ diameters of a circle whose area is $$88$$ sq. units then the equation of the circle is :

  • Question 6
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    If he equations of two diameters of a circle are $$2x + y = 6$$ and $$3x + 2y = 4$$ and the radius is $$10$$ , find the equation of the circle. 

  • Question 7
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    The equation $$\dfrac{{x}^{2}}{2-r}+\dfrac{{y}^{2}}{r-5}+1=0$$ represents an ellipse if

  • Question 8
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    The equation of directrix of a parabola $$3 x + 4 y + 15 = 0$$ and equation of tangent at vertex is $$3 x + 4 y - 5 = 0$$ . Then the length of latus rectum is equal to- 

  • Question 9
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    Which of the following equations represents parametrically, parabolic profile ?

  • Question 10
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    Equation of the circle of radius 5 whose centre lies on y-axis in first quadrant and passes through$$\left( {3,\,\,\,\,2} \right)$$ is 

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