Q3 of 30 Page 1

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

Given : Point P(X, Y)

To Find : Length OP

Using Pythagoras Theorem,

(∵ PQR is a right triangle with OP as the hypotenuse)

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

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

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

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