Self Studies

Conic Sections ...

TIME LEFT -
  • Question 1
    1 / -0

    An ellipse has $$OB$$ as semi-minor axis, $$F$$ and $${ F }^{ ' }$$ its foci and the $$\angle FB{ F }^{ ' }$$ is a right angle. Then, the eccentricity of the ellipse is

  • Question 2
    1 / -0

    If $$ e$$ and $$e'$$ be the eccentricities of a hyperbola and its conjugate, them $$ \dfrac {1}{e^2} + \dfrac {1}{e'^{2}} $$ is equal to :

  • Question 3
    1 / -0

    The equation of the circle whose two diameters are the lines $$x+y=4$$ and $$x-y=2$$ and which passes through $$(4 , 6 )$$ is 

  • Question 4
    1 / -0

    The equation of the circle passing through $$(2,0)$$ and $$(0,4)$$ and having the minimum radius is

  • Question 5
    1 / -0

    If the eccentricities of the hyperbola $$\dfrac {x^{2}}{a^{2}} - \dfrac {y^{2}}{b^{2}} = 1$$ and $$\dfrac {y^{2}}{b^{2}} - \dfrac {x^{2}}{a^{2}} = 1$$ be $$e$$ and $$e_{1}$$, then $$\dfrac {1}{e^{2}} + \dfrac {1}{e_{1}^{2}} =$$.

  • Question 6
    1 / -0

    The equation of the latus rectum of the parabola $$x^{2} + 4x + 2y = 0$$ is

  • Question 7
    1 / -0

    Find the equation of the circle which touches the coordinate axes and whose centre lies on the line $$x - 2y = 3$$.

  • Question 8
    1 / -0

    Consider a rigid square $$ABCD$$ as in the figure with $$A$$ and $$B$$ on the $$x$$ and $$y$$ axis respectively. When $$A$$ and $$B$$ slide along their respective axes, the locus of $$C$$ forms a part of.

  • Question 9
    1 / -0

    The equation of the image of the circle $${ x }^{ 2 }+{ y }^{ 2 }+16x-24y+183=0$$ by the line mirror $$4x+7y+13=0$$ is:

  • Question 10
    1 / -0

    Suppose the parabola $$(y - k)^{2} = 4(x - h)$$ with vertex $$A$$, passes through $$O = (0, 0)$$ and $$L = (0, 2)$$. Let $$D$$ be an end point of the latus rectum. Let the y-axis intersect the axis of the parabola at $$P$$. Then $$\angle PDA$$ is equal to

Submit Test
Self Studies
User
Question Analysis
  • Answered - 0

  • Unanswered - 10

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
Submit Test
Self Studies Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Self Studies
Click on Allow to receive notifications
Allow Notification
Self Studies
Self Studies Self Studies
To enable notifications follow this 2 steps:
  • First Click on Secure Icon Self Studies
  • Second click on the toggle icon
Allow Notification
Get latest Exam Updates & FREE Study Material Alerts!
Self Studies ×
Open Now