21) Which term of the A.P.: 21,18, 15,……………is -30?
View Answer
B) 18
Explanation:a = 21, d =-3, a
n = a + (n – 1)d =-30
=> 21 + (n – 1)(-3)=-30
=> n-1 =
= 17
∴ n = 18
22) In A.P., sum of n terms, Sn =
View Answer
A)
Explanation:S
n =
[2a + (n-1)d]
23) If a, b, c are in G.P., then a/b =
A) b/c
B) c/b
C) 1/ab
D) b/a
View Answer
A) b/c
Explanation:a, b, c are In GP.
b/a = c/b => a/b = b/c
24) Distance between the points (-2,3), (2, -3)
View Answer
A) √52
Explanation:
= √52
25) If (P, 2), (-3, 4) and (7, -1) are collinear, then P =
View Answer
D) 1
Explanation:A (P, 2), B (-3, 4), C (7, -1)
Slope of AB = Slope of BC
=
=
4 = 3 + P => P = 1
26) Centroid of a triangle divides each median in the ratio:
A) 2 : 1
B) 1 : 2
C) 1 : 3
D) 3 : 1
View Answer
A) 2 : 1
Explanation:2:1
27) Slope of the line joining the points (4, -8), (5,-2)
A) 1/6
B) -6
C) 6
D) -1/6
View Answer
C) 6
Explanation:
= 6
28) If two triangles are similar such that ratio of their areas is 25 : 361, then find the, ratio of their corresponding medians.
A) 10 : 20
B) 5 : 19
C) 20 : 19
D) 18 : 5
View Answer
B) 5 : 19
Explanation:√25 : 361 = 5 : 19
29) The angles of a triangle are in the ratio 1:2: 3, then the least angle is
A) 15°
B) 20°
C) 25°
D) 30°
View Answer
D) 30°
Explanation:Ratio = 1:2:3
A:B:C= 1 :2:3
A/1 = B/2 = C/3 = K
A = K, B = 2K, C = 3K
A+B+C= 180°
K + 2K + 3K = 180°
6K = 180° => K i 30°
Angles = 30°, 60°, 90°
∴Least angle = 30°
30) The angles of a triangle are 3x + 12°, 5x – 6° and x + 3°, then measure of largest angle is
A) 69°
B) 59°
C) 79°
D) 89°
View Answer
D) 89°
Explanation:A = 3x + 12°, B = 5x- 6°, C = x + 3°
A + B + C = 180°
3x + 12° + 5x-6° + x + 3° = 180°
9x + 9 = 180°
9x= 171 =>x= 19°
∴A = 3x + 12° = 3(19) + 12 = 69°
B = 5x-6 = 5 (19) – 6 = 89°
C = x + 3 = 19 + 3 = 22°
∴ Largest angle = 89°
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