If x = 3 is one root of the quadratic equation x2-2kx -6 =0, the

Subject

Mathematics

Class

CBSE Class 10

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 Multiple Choice QuestionsShort Answer Type

1.

What is the value of (Cos267o - sin2 23o)?


2.

In an AP, if the common difference (d) = –4, and the seventh term (a7) is 4, then find the first term.


3.

Given ABC ~ PQR, if ABPQ = 13, then find arABCarPQR


4.

What is the HCF of the smallest prime number and the smallest composite number?


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5.

Find the distance of a point P(x, y) from the origin.


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6.

If x = 3 is one root of the quadratic equation x2-2kx -6 =0, the find the value of k.


x = 3 is one of the root of x2-2kx -6 =0

(3)2 -2k(3) - 6 =0

9-6k - 6 = 0
3 - 6k = 0
3 = 6k
k = 3/6 = 1/2


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7.

Two different dice are tossed together. Find the probability:
(i) of getting a doublet
(ii) of getting a sum 10, of the numbers on the two dice.


8.

Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and B(6, –3). Hence find m.


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9.

An integer is chosen at random between 1 and 100. Find the probability that it is :

(i) divisible by 8

(ii) not divisible by 8


10.

In figure, ABCD is a rectangle. Find the values of x and y.


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