The equation of a circle with centre at 3 4 and

3. The equation of a circle with centre at (3, 4) and tangent to the y-axis is:-
A. ( 𝑥 − 3)
2
+ ( 𝑦 − 4)
2
=100 C. ( 𝑥 − 3)
2
+ ( 𝑦 − 4)
2
=16
B. ( 𝑥 − 3)
2
+ ( 𝑦 − 4)
2
=9 D. ( 𝑥 − 3)
2
+ ( 𝑦 − 4)
2
=25
4. Which of the following pairs of lines are parallel?
5. Which of the following is true about a parabola 𝑥
2
− 12 𝑦 − 2 𝑥 − 11 = 0?
6. Which of the following equation describes | 𝑧 − 1| = 2, 𝑧 = 𝑥 + 𝑦𝑖 ?
7. If 𝑓
(
𝑥
) =
𝑥𝑒
𝑥
, 𝑔
(
𝑥
) =
𝑙𝑛𝑥 and ℎ
(
𝑥
) = (
𝑓𝑜𝑔 )( 𝑥 ) , then which of the following is true?
A. ℎ ( 𝑥 ) =
𝑒
𝑥
B. ℎ ( 𝑥 ) = 𝑥𝑙𝑛𝑥 C. ℎ ( 𝑥 ) = 𝑙𝑛𝑥 D. ℎ ( 𝑥 ) =
𝑥
𝑥
𝑒
8. Which of the following represent a function?
}
9. Which one of the following is Not the intersection point of the hyperbola 𝑥
2
− 𝑦
2
= 9
10. Let 𝑓
(
𝑥
) =
𝑥
2
+3𝑥−4
𝑥−5
. Which of the following is FALSE about 𝑓 ?
+ 8.

11. Distance between the pair of parallel lines 𝟐𝐱 − 𝟑𝐲 + 𝟐 = 𝟎 & 𝟐𝐱 − 𝟑𝐲 + 𝟔 = 𝟎
4√11 6√13 4√13
A.
√11
13
B.
13
C.
13
D.
13
12. Eccentricity of an ellipse whose equation is 9 𝑦
2
+16 𝑥
2
-32x+36y-92=0 is? 13. Which one of the following is equivalent to ¬[( ∃𝑥 )( 𝑝 ( 𝑥 ) ⇒ 𝑄 ( 𝑥 )]?
))
14. A company produced 20,000 generators and randomly tested 3% of the product. Among
The tested generators, if 50 have defect of type 𝐺
1
, 60 have defect type 𝐺
2
and 30 have
both types of defects. What is the probability that a generator produced is either defect
type 𝐺
1
or defect type 𝐺
2
? A.
2
2