CBSE [Delhi]_X_Mathematics_2016_Set_I
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Q1
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Q2
For what value of k will k + 9, 2k – 1 and (2k +7) are the consecutive terms of an A.P.?
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Q3
A ladder, leaning against a wall, makes an angle of 60° with the horizontal. If the foot of the ladder is2.5 m away from the wall, find the length of the ladder.
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Q4
A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability ofgetting neither a red card nor a queen.
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Q5
If – 5 is a root of the quadratic equation 2x^{2} + px –15 = 0 and the quadratic equation p (x^{2} + x) + k = 0has equal roots, find the value of k.
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Q6
Let P and Q be the points of trisection of the line segment joining the points A(2, – 2) and B(–7, 4)such that P is nearer to A. Find the coordinates of P and Q.
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Q7
In Fig.2, a quadrilateral ABCD is drawn to circumscribe a circle, with centre 0, in such a way that thesides AB, BC, CD and DA touch the circle at the points P, Q, R and S respectively. Prove that.
AB +CD = BC + DA.
Figure 2
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Q8
Prove that the point (3, 0), (6, 4) and (–1, 3) are the vertices of a right angled isosceles triangle.
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Q9
The 4^{th} term of an A.P. is zero. Prove that the 25^{th} term of the A.P. is three times its 11^{th} term.
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Q10
Figure 3Marks:2Answer: