HSC Science Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

What is the length of the arc intercepted by a central angle of measure 41° in a circle of radius 10 ft?

If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii

The perimeter of a certain sector of a circle is equal to the length of the arc of a semi-circle having the same radius. Express the angle of the sector in degrees, minutes and seconds

An airplane propeller rotates 1000 times per minute. Find the number of degrees that a point on the edge of the propeller will rotate in 1 second

A train is moving on a circular track of 1500 m radius at the rate of 66 km/hr. What angle will it turn in 20 seconds?

A circular metallic plate of radius 8 cm and thickness 6 mm is melted and molded into a pie (a sector of the circle with thickness) of radius 16 cm and thickness 4 mm. Find the angle of the sector.

Choose the correct alternative:
A wheel is spinning at 2 radians/second. How many seconds will it take to make 10 complete rotations?

Integrate the following with respect to x:

x¹¹ 

Integrate the following with respect to x:

`1/x^7`

Integrate the following with respect to x:

`root(3)(x^4)`

Integrate the following with respect to x:

`(x^5)^(1/8)`

Integrate the following with respect to x:

`1/(sin^2x)`

Integrate the following with respect to x:

`tanx/cosx`

Integrate the following with respect to x:

`cosx/(sin^2x)`

Integrate the following with respect to x:

`1/(cos^2x)`

Integrate the following with respect to x:

12³ 

Integrate the following with respect to x:

`(x^24)/(x^25)`

Integrate the following with respect to x:

e^x

Integrate the following with respect to x:

(1 + x²)^–1 

Integrate the following with respect to x:

`(1 - x^2)^(- 1/2)`