# NCERT Class 11-Math's: Exemplar Chapter –11 Conic Sections Part 11

Glide to success with Doorsteptutor material for IMO Class-11: fully solved questions with step-by-step explanation- practice your way to success.

Question 46:

The equation of the hyperbola with vertices at and eccentricity is ______________and its foci are ________________.

## Choose the Correct Answer Out of the Given Four Options (M.C.Q.) in Exercises 47 to 59

Question 47:

The area of the circle centred at and passing through is

(A)

(B)

(C)

(D) None of these

Question 48:

Equation of a circle which passes through and touches the axes is

(A)

(B)

(C)

(D) None of these

Question 49:

Equation of the circle with centre on the y-axis and passing through the origin and the point is

(A)

(B)

(C)

(D)

Question 50:

The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length is

(A)

(B)

(C)

(D)

[Hint: Centroid of the triangle coincides with the centre of the circle and the radius of the circle is of the length of the median]

Question 51:

If the focus of a parabola is and its directrix is , then its equation is

(A)

(B)

(C)

(D)

Question 52:

If the parabola passes through the point , then the length of its latus rectum is

(A)

(B)

(C)

(D)

Question 53:

If the vertex of the parabola is the point and the directrix is the line , then its equation is

(A)

(B)

(C)

(D)

Question 54:

The equation of the ellipse whose focus is , the directrix the line and eccentricity is

(A)

(B)

(C)

(D) None

Question 55:

The length of the latus rectum of the ellipse is

(A)

(B)

(C)

(D)