SSLC (English Medium) कक्षा १० - Tamil Nadu Board of Secondary Education Question Bank Solutions for Mathematics

Let A, B, C ⊆ N and a function f: A → B be defined by f(x) = 2x + 1 and g: B → C be defined by g(x) = x². Find the range of fog and gof.

If f(x) = x² – 1. Find fof

If f(x) = x² – 1. Find fofof

If f : R → R and g : R → R are defined by f(x) = x⁵ and g(x) = x⁴ then check if f, g are one-one and fog is one-one?

Consider the function f(x), g(x), h(x) as given below. Show that (fog)oh = fo(goh)

f(x) = x – 1, g(x) = 3x + 1 and h(x) = x² 

Consider the function f(x), g(x), h(x) as given below. Show that (fog)oh = fo(goh)

f(x) = x², g(x) = 2x and h(x) = x + 4

Consider the function f(x), g(x), h(x) as given below. Show that (fog)oh = fo(goh)

f(x) = x – 4, g(x) = x² and h(x) = 3x – 5

Multiple choice question : 

If f(x) = 2x² and g(x) = `1/(3x)`, then fog is

Multiple choice question : 

Let f and g be two function given by  f = {(0, 1), (2, 0), (3, – 4), (4, 2), (5, 7)} g = {(0, 2), (1, 0), (2, 4), (– 4, 2), (7, 0) then the range of fog is

Multiple choice question : 

If g = {(1, 1), (2, 3), (3, 5), (4, 7)} is a function given by g(x) = αx + β then the value of α and β are

If f(x)= x², g(x) = 3x and h(x) = x – 2 Prove that (fog)oh = fo(goh)

The volumes of two cones of same base radius are 3600 cm³ and 5040 cm³. Find the ratio of heights.

A container open at the top is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends are 8 cm and 20 cm respectively. Find the cost of milk which can completely fill a container at the rate of ₹ 40 per litre.

The height and radius of the cone of which the frustum is a part are h₁ units and r₁ units respectively. Height of the frustum is h₂ units and the radius of the smaller base is r₂ units. If h₂ : h₁ = 1 : 2 then r₂ : r₁ is

The volume of a cone is `1005 5/7` cu.cm. The area of its base is `201 1/7` sq.cm. Find the slant height of the cone

A metallic sheet in the form of a sector of a circle of radius 21 cm has a central angle of 216°. The sector is made into a cone by bringing the bounding radii together. Find the volume of the cone formed.

Let f = {(–1, 3), (0, –1), (2, –9)} be a linear function from Z into Z. Find f(x)

In electrical circuit theory, a circuit C(t) is called a linear circuit if it satisfies the superposition principle given by C(at₁ + bt₂) = aC(t₁) + bC(t₂), where a, b are constants. Show that the circuit C(t) = 3t is linear.

Find the sum of first n terms of the G.P.

`5, -3, 9/5, - 27/25, ...`

Find the sum of first n terms of the G.P.

256, 64, 16, …