What is the equation of the circle having centre at $(-3,2)$ and radius 3 ?
- A$(x-3)^2+(y+2)^2=16$
- ✓$(x+3)^2+(y-2)^2=16$
- C$(y+2)^2-(x-3)^2=16$
- D$(x-3)^2-(y+2)^2=16$
Answer: B.
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M.C.Q (1 Marks)
20 Q→02True False[1 Marks ]
10 Q→03Fill In The Blanks[1 Marks ]
10 Q→041 Marks Question
17 Q→052 Marks Questions
6 Q→063 Marks Question
9 Q→07Match the following.
2 Q→One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Answer: B.
View full solution →Answer: B.
View full solution →Answer: D.
View full solution →Answer: A.
View full solution →Answer: D.
View full solution →| Part (A) | Part (B) |
| 1. The length of latus rectum of parabola $x^2=4 a y$ | (a) $2 a$ |
| 2. The length of major axis of ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a>b$ | (b) $( \pm a, 0)$ |
| 3. The coordinates of vertex of hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ | (c) $y=b / e, y=-b / e$ |
| 4. The equation of directrix of ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a < b$ | (d) $(-a, 0)$ |
| 5. The coordinates of focus of parabola $y^2=-4 a x$ | (e) $4 a$ |
| Part (A) | Part (B) |
| 1. The coordinates of focus of hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=-1$ | (a) $(-g,-f)$ |
| 2. The equation of major axis of ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a>b$ | (b) $(0, \pm b e)$ |
| 3. The length of latus rectum of hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=-1$ | (c) $y=0$ |
| 4. The coordinates of centre of circle $x^2+y^2+2 g x+2 f y+c=0$ | (d) $2 b$ |
| 5. The length of major axis of ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a<b$ | (e) $\frac{2 a^2}{b}$ |
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