CBSE [All India]_X_Mathematics_2011_Set III
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Q1
The roots of the equation
x^{2} – 3x –m(m+3)=0, where m is a constant, are
(A) m, m+3
(B) –m, m+3
(C) m,  (m+3)
(D) –m,  (m+3)Marks:1Answer:
(B) –m, m+3

Q2
If the common difference of an A.P. is 3, then a_{20} – a_{15} is
(A) 5
(B) 3
(C) 15
(D) 20Marks:1Answer:
(C) 15

Q3
In Figure, O is the centre of a circle, PQ is a chord and PT is the tangent at P. If POQ=70°, then TPQ is equal to
(A) 55°
(B) 70°
(C) 45°
(D) 35°Marks:1Answer:
(D) 35°

Q4
In figure, AB and AC are tangents to the circle with centre O such that BAC =40°. Then BOC is equal to
(A) 40°
(B) 50°
(C) 140°
(D) 150°Marks:1Answer:
(C) 140°

Q5
The perimeter (in cm) of a square circumscribing a circle of radius a cm is
(A) 8a
(B) 4a
(C) 2a
(D) 16aMarks:1Answer:
(A) 8a

Q6
A tower stands vertically on the ground. From a point on the ground which is 25 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 45°. Then the height (in meters) of the tower is
(A) 252
(B) 253
(C) 25
(D) 12.5Marks:1Answer:
(C) 25

Q7
If P(a/2, 4) is the midpoint of the line  segment joining the points A(6, 5) and B( 2, 3), then the value of a is
(A) – 8
(B) 3
(C) – 4
(D) 4Marks:1Answer:
(A) – 8

Q8
If A and B are the points ( 6, 7) and ( 1,  5) respectively, then the distance 2AB is equal to
(A) 13
(B) 26
(C) 169
(D) 238Marks:1Answer:
(B) 26

Q9
A solid sphere of radius r is melted and recast into the shape of a solid cone of height 4r. The radius of the base of the cone is
(A) r
(B) 2r
(C) 3r
(D) 4rMarks:1Answer:
(A) r

Q10
A card is drawn from a well shuffled deck of 52 playing cards. The probability that it is not a face card is
(A) 12/52
(B) 16/52
(C) 10/13
(D) 9/13Marks:1Answer:
(C) 10/13