AB is a chord to a circle and PAT is the tangent to the circle at A. If ∠BAT=75° and ∠BAC=45° and C being a point on the circle, then ∠ABC is equal to

The length of the chord of a circle is 8 cm and perpendicular distance between center and the chord is 3 cm. Then the radius of the circle is equal to:

Find measure of central angle of the arc whose length is 22 cm and radius of the circle is 28 cm?

If $${17}^{200}$$ is divided by 18, the remainder is:

Two sums are in the ratio 4:3. Both the sums are lent at 5% per annum and 10% per annum under compound interest for two years. The difference between the interest at the end of two years is Rs. 1540. What was the sum lent at 10% per annum?

If the length of the three sides of a triangle are 6 cm, 8 cm, and 10 cm,  then the length of the median to its greatest side is

The ratio of two numbers is 4:5 and their LCM is 120. The numbers are