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Math 12 Chapter 6
Conic Section
Test - 7
1.
Ax
2
+ By
2
+ Gx + Fy + C = 0 represents a circle if:
a) A = B
b) None of these
c) A @ B
d) A
¹
B
2.
Equ. of circles with center at origin.
a) x
3
+ y
3
= r
3
b) x + y = r
c) x
2
- y
2
= r
2
d) x
2
+ y
2
= r
2
3.
2xy = 3 is an equation of:
a) Parabola
b) Circle
c) Hyperbola
d) Ellipse
4.
If a = b in the equ. of x
2
/a
2
+ y
2
/b
2
= 1 then conic will be:
a) Parabola
b) Ellipse
c) Circle
d) Hyperbola
5.
The length of the major axis of 4x
2
+9y
2
=36:
a) 4
b) 10
c) 6
d)
Ö
5
6.
The focus of the parabola y
2
= 8x is:
a) (4,0)
b) (0,4)
c) (0,2)
d) (2,0)
7.
In the parabola y
2
= 8x, origin is being shifted to (1,1) the new equation is:
a) y
2
= 8x - 2y - 9
b) (y
2
-1)
2
= 8x
c) y
2
= 8x - 8
d) y
2
= 8x + 2y - 9
8.
The equation of tangent line to the curve x
2
-4y
2
+4=0 at y =1 is:
a) y = x-1
b) x = 1
c) y = 1
d) y + 1 = 0
9.
The center of an ellipse (x-1)
2
/ 4 + (x+2)
2
/ 16 = 1 is:
a) (2,4)
b) (2,-4)
c) (-1,2)
d) (1,-2)
10.
Length of the latus rectum of the parabola x
2
= 8(y+2) is:
a) 8
b) -2
c) 4
d) 2
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