The distance between two points A(a cosθ, 0), B(0, asinθ) is ……………….
A) a
B) a²
C) √a
D) 0

The point (-5, -8) lies in ………. quadrant.
A) I
B) II
C) III
D) IV

Three consecutive vertices of a parallelogram are (-2, 1), (1, 0), and (4, 3). Then the 4^th vertex is ………………
A) (1, 4)
B) (1, -2)
C) (-1, 2)
D) (-1, -2)

If P = {3x/x ∈N,x ≤ 50},
Q = {5x/x ∈N, x ≤ 30}, then n(P ∩ Q) =……………..
A) 5
B) 8
C) 10
D) 15

AOBC is a rectangle with A = (0, 3), O (0, 0) and B (5, 0), then the length of its diagonals is ………………
A) 5
B) 3
C) √34
D) 4

The points of trisection of the line segment joining (2, -2), (-7, 4) are
A) (1, 0), (-4, 2)
B) (-1, 0), (-4, 2)
C) (-1, 0), (-4, -2)
D) (1, 0), (4, 2)

If P(3, 4) and Q(7, 7) are two points and PR = 10, where P, Q and R are collinear, then R =
A) (10,10)
B) (11, 11)
C) (11, 10)
D) (11, -10)

In ΔABC, E and F are the points on the sides AB and AC respectively.
If AE = 2 cm, EB = 2.5 cm, AF = 4 cm and FC = 5 cm, then
A) EF ⊥ BC
B) EF ⊥ AB
C) EF || BC
D) EF || AB

Areas of two similar triangles are 100 cm² and 64 cm². If the median of a bigger triangle is 10 cm, then the median of the smaller triangle is …………………..
A) 10 cm
B) 6 cm
C) 4 cm
D) 8 cm

In Δ ABC with ∠A = 90°; from A, perpendicular AD is drawn on BC. Which one of the following is not correct?
A) ∠A = ∠B
B) Δ DAC ~ Δ DBA
C) Δ ABC ~ Δ DBA
D) Δ ABC ~ Δ DBA ~ Δ DAC

If Δ PQR – ΔXYZ, QR = 3 cm, YZ = 4 cm, ar ΔPQR= 54 cm², then ar ΔXYZ = ………………
A) 13.5 cm²
B) 46 cm²
C) 96 cm²
D) 12 cm²

In a square, the diagonal is ……………… times of its side.
A) √7
B) √3
C) √2
D) 2

In a quadrilateral ABCD, if AB = CD, BC = AD and AC ≠ BD, then ABCD is ………………
A) parallelogram
B) trapezium
C) rhombus
D) square

In ΔPQR, ∠R = 90° then hypotenuse is …………………..
A) PQ
B) PR
C) RP
D) PP

ΔABC ~ ΔDEF if ∠E + ∠F = 130° then ∠A = …………………..
A) 60°
B) 70°
C) 80°
D) 50°

PA and PB are two tangents drawn to a circle with centre O from an external point P. If ∠APB = 30°, then ∠AOB =
A) 60°
B) 90°
C) 70°
D) 150°

Angle made by the minutes – hand in a clock during a period of 20 minutes is ……………….
A) 120°
B) 20°
C) 360°
D) 90°

The length of a tangent to a circle from a point P is 12 cm and the radius of the circle is 5 cm, then the distance from point P to the centre of the circle is ……………..
A) 11 cm
B) 10 cm
C) 13 cm
D) 14 cm

A circle can have …………….. parallel tangents.
A) 1
B) 3
C) 2
D) 4

The C.S.A. and T.S.A. of a cylinder are in the ratio 2 : 3. Its T.S.A. is 924 cm² then
its volume is ……………….. cm³.
A) 2156
B) 1256
C) 1265
D) 2516

The area of a circle is 220 cm². Then the area of square inscribed in it is……………..
A) 49 cm²
B) 70 cm²
C) 140 cm²
D) 150 cm²

If all the sides of a parallelogram touch a circle, then the parallelogram is
A) a square
B) a rhombus
C) a rectangle
D) None

The number of circles passing through three collinear points in a plane is
A) 1
B) 0
C) 9
D) 12

Which one of the following is NOT defined?
A) sin 90°
B) cos 0°
C) sec 90°
D) cos 90°

Values of sin 30°. sin 90°. sec 60° are in …………………
A) A.P.
B) G.P.
C) a
D) (A)or(C)

tan θ is not defined when ‘θ’ is
A) 0°
B) 30°
C) 60°
D) 90°

If cos 2θ = sin 4θ, here 2θ, 4θ are acute angles, then the value of ‘θ’ =
A) 60°
B) 30°
C) 45°
D) 15°

If Sin A = Cos B then A + B = ……………………..
A) 60°
B) 90°
C) 45°
D) 120°

tan 2A = 1 then A = …………………..
A) 45.5
B) 60.5
C) 22.5
D) 30.5

sin⁶ A + cos⁶ A + 3sin²A cos²A =
A) 1
B) -1
C) 0
D) None

If tan2A = cot (A – 18°), where 2A is an acute angle, then A =
A) 6°
B) 18°
C) 36°
D) 54°

The angle of elevation of a jet plane from a point A on the ground is 60°. After a flight of 15 seconds, the angle of elevation changes to 30°. If the jet plane is flying at a constant height of 1500 √3 meter, then the speed of the plane is ……………….. m/sec.
A) 200
B) 300
C) 400
D) 100

If altitude of the sun is 60°. Then the height of the tower which is casting a shadow of 30 m. is ………………… m.
A) 61.69
B) 51.69
C) 51.96
D) 41.69

If a 6m height pole casts a shadow 2√3 m long on the ground, then the sun’s angle of elevation is
A) 60°
B) 45°
C) 30°
D) 90°

From a point 30m from the foot of a tower, the angle of elevation of the top is 30°. Then the height of the tower is
A) 10 m
B) 10√3 m
C) 15 m
D) 19 m

A ladder of 19m is leaning to a wall making an angle of 60° with the ground. The distance from the foot of the wall to the foot of the ladder is
A) 18m
B) 19m
C) 9m
D) 9.5m

Raj ender observes a person standing on the ground from a helicopter at an angle of depression 45°. If the helicopter flies at a height of 50 m from the ground, then the distance of the person from Raj ender is
A) 25 √2 m
B) 50 √2 m
C) 75 √2 m
D) None

If P(E) = 0.09, then P (not E) in percentage is …………………
A) 9.1%
B) 91%
C) 0.91%
D) 0.091%

Probability of impossible event is …………………
A) 0
B) 1
C) 1.0 (or) 0.5
D) 0.5

Probability of sure event is …………………..
A) 0
B) -1
C) +1
D) ∞

Which one of the following cannot be the probability of an event?
A) 0.3
B) -1.5
C) 15%
D) 0.7

A box contains 12 balls out of which x are black. If 6 more black balls are put in the box, the probability of drawing a black ball now is double of what it was before. The value of x is …………………
A) 5
B) 4
C) 3
D) 2

If K₁ ≤ P ≤ K₂ where P is probability of any event of random experiment, then the possible maximum K₂ + possible least value of K₁ is ………………..
A) 1
B) 0
C) 2
D) cannot be determined

Mid values are used to find
A) mean
B) median
C) mode
D) range

The A.M of a + 2, a, a – 2 is ……………….
A) a + 2
B) a
C) a – 2
D) 3a

The mid-value of class 10 – 19 is ………………….
A) 24.5
B) 20.5
C) 23.5
D) 14.5

If the median of the data : 24, 25, 26, x + 2, x + 3, 30, 31, 34 is 27.5, then (Data in the ascending order) is ………………..
A) 27
B) 25
C) 28
D) 30

The mean of 1, 3, 4, 5, 7, 4 is m. The numbers 3, 2, 2, 4, 3, 3, p have mean m – 1 and median q, then p + q = …………………..
A) 4
B) 3
C) 6
D) 7

The mean of data is. 10. If each observation is multiplied by 2 and 1 is subtracted from each result, the mean of the new observation is ………………..
A) 21
B) 19
C) 9
D) 10