Conic Section Test

Result

Conic Section Test - 20

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Weekly Quiz Competition

Question 1
4 / -1

Equation of the ellipse whose focii are (2, 2) and (4, 2) and the length of major axis is

A

B

C

D
Question 2
4 / -1

The equation of parabola with focus (0, 9) and x + y = 4 is

A
x² + y² - 2xy + 8x + 8y - 16 = 0

B
x² + y² - 2xy + 8x + 8y= 0

C
x² + y² + 8x + 8y - 16 = 0

D
x² + y² + 8x + 8y + 16 = 0
Question 3
4 / -1

The equation of the ellipse whose focii are (2, 0) and eccentricity (1, 2) is

A

B

C

D
None of these
Question 4
4 / -1

If (0, 6) and (0,3) are respectively the vertex and focus of a parabola, then its equation is

A
x² + 12y = 72

B
x² - 12y = 72

C
y² - 12x = 72

D
y² + 12x = 72
Question 5
4 / -1

The curve with parametric x = e^t + e^-t and y = e^t - e^-t is

A
a circle

B
an ellipse

C
a hyperbola

D
a parabola
Question 6
4 / -1

The equation of a parabola which passes through the intersection of a straight line x + y = 0 and the circle x² + y² + 4y = 0, is

A
y² = 4x

B
y² = x

C
y² = 2x

D
None of these
Question 7
4 / -1

The point (4, -3) with respect to the ellipse 4x² + 5y² = 1

A
a lies on the curve

B
is inside the curve

C
is outside of the curve

D
is focus of the curve
Question 8
4 / -1

The foci of an ellipse are (0, ±4) and the equations for the directrices are y = ± 9. The equation for the ellipse is

A
5x² + 9y² = 4

B
2x² - 6y² = 28

C
6x² + 3y² = 45

D
9x² + 5y² = 180
Question 9
4 / -1

The locus of the foot of perpendicular drawn from the centre of the ellipse x² + 3y² = 6 on anytangent to it, is

A
(x² - y²)² = 6x² + 2y²

B
(x² - y²)² = 6x² - 2y²

C
(x² + y²)² = 6x² + 2y²

D
(x² + y²)² = 6x² - 2y²
Question 10
4 / -1

the slope of the line touching both parabolas y² = 4x and x² = - 32y is

A
1/2

B
3/2

C
1/8

D
2/3