HSC Arts इयत्ता १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions

You are the head of the English department in a renowned institution. You are invited to preside over the inauguration of the English Literary Club in your alma mater. Respond to the letter you have received either accepting the invitation or expressing your inability to attend the function.

Write a letter to the Headmaster of your school requesting him to help you obtain a duplicate mark sheet of class XII, which you lost while travelling

Write a letter to AZ Company requesting them to replace the defective juicer that you bought recently. Include the following details: the problem, date of purchase, receipt number, model and warranty

You wish to become a pilot. Write a letter to a college enquiring about the details of the pilot training course offered by the college. Include the following details in your enquiry: duration of the course, fee structure, scholarships, hostel facilities, and placement details.

Write a letter to the manager of Waves Furniture Company ordering furniture for a coaching centre. Include the following details: description of the furniture, number of pieces, mode of payment, time and delivery options.

Write a letter to the Editor of a newspaper about the nuisance created by the roadside vendors blocking the pavements and occupying the parking zone.

Write a letter to your relative or friend who is admitted in hospital for treatment of jaundice. Advise him/her not to worry about the illness and be positive. Assure him/her of your psychological and financial help during the crisis.

A man standing directly opposite to one side of a road of width x meter views a circular shaped traffic green signal of diameter ‘a’ meter on the other side of the road. The bottom of the green signal Is ‘b’ meter height from the horizontal level of viewer’s eye. If ‘a’ denotes the angle subtended by the diameter of the green signal at the viewer’s eye, then prove that α = `tan^-1 (("a" + "b")/x) - tan^-1 ("b"/x)`

If the sides of a cubic box are increased by 1, 2, 3 units respectively to form a cuboid, then the volume is increased by 52 cubic units. Find the volume of the cuboid

Find all the values of x such that – 10π ≤ x ≤ 10π and sin x = 0

Find all the values of x such that Find all the values of x such that −3π ≤ x ≤ 3π and sin x = −1

Find the period and amplitude of y = sin 7x

Find the period and amplitude of y = `- sin(1/3 x)`

Find the period and amplitude of y = 4 sin(– 2x)

Sketch the graph of y = `sin(1/3 x)` for 0 ≤ x ≤ 6π

Find the domain of the following

`f(x) = sin^-1 ((x^2 + 1)/(2x))`

Find the domain of the following

`g(x) = 2sin^-1(2x - 1) - pi/4`

Choose the correct alternative:

`sin^-1(cos x) = pi/2 - x` is valid for

Choose the correct alternative:

If `cot^-1x = (2pi)/5` for some x ∈ R, the value of tan^-1 x is

Choose the correct alternative:

The domain of the function defined by f(x) = `sin^-1 sqrt(x - 1)` is