# CBSE[Outside Delhi]_X_Mathematics_2018_Set_I

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• Q1

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

Marks:1

• Q2

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

Marks:1

The smallest prime number = 2

The smallest composite number = 4

Required HCF of 2 and 4 = 2

• Q3

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

Marks:1

• Q4

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

Marks:1

• Q5

What is the value of (cos267°–sin223°)?

Marks:1

• Q6

Marks:1

• Q7

Marks:2

• Q8

In Fig. 1, ABCD is a rectangle. Find the value of x and y.

Marks:2

ABCD is a rectangle whose opposite sides are equal.

AB = CD and BC = AD

It means,

x + y = 30 … (i)

x – y = 14 … (ii)

2x = 44

x = 22

Putting x = 22 in equation (i), we get

22 + y = 30

y = 8

Therefore, x = 22 and y = 8

• Q9

Find the sum of first 8 multiples of 3.

Marks:2