(1) Without actually doing the division, state whether
3125
13 will have terminating decimal expansion or
non- terminating decimal expansion.
(2) ∆ABC ∆DEF such that AB = 9.1 cm and DE= 6.5 cm. If the perimeter of ∆DEF is 25 cm, what is
the perimeter of ∆ABC .
(3) Find the number of terms in the A. P. 18, 15
2
1
, 13......, -47.
(4) Find the value of k for which one root of the equation kx2 – 14x +8 =0 is 2.
(5) Find the distance of the point P(x, y) from the origin.
(6) If sinA = cosA, then find the value of 2 tanA + cos2
A.
(7) Find the probability of getting a doublet in a throw of a pair of dice.
(8) Find the probability of getting a red queen when a card is drawn at random from a well shuffled deck
of 52 cards.
(9) Which term of the A.P. 27, 24, 21 ........... is zero ?
Or
In an Arithmetic Progression, if d= -4, n = 7,a n = 4 then find a.
(10) If two tangents are inclined at 600 are drawn to a circle of radius 3 cm then find the length of each
tangent.
Or
PQ is a tangent to a circle with centre ‘O’ at a point of contact P. If ∆ OPQ is an isosceles triangle,
then find OPQ.
(11) In the ∆ ABC, D and E are points on the side AB and AC respectively such that DE || BC. If AE = 2
cm, AD= 3 cm and BD= 4.5 cm, then find CE ?
(12) If Mode and Mean of any data is 3.1 and 3.5 respectively then find its Median.
(13) If 3 chairs and 1 table costs Rs. 1500 and 6 chairs and 1 table costs Rs 2400. Form a linear equation
to represent this situation.
(14) In a circle of radius 21 cm, if an arc subtend an angle of 600
at the centre, then what will be the
length of arc ?
(15) Find the distance between two points (2, -3) and ( 2, 4).
(16) Find the curved surface area of the cylinder in which radius is 7 cm and height is 21 cm.
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A force is a push or pull upon an object resulting from the object's interaction with another object. Whenever there is an interaction between two objects, there is a force upon each of the objects.
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