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

The radius of a sphere increases by 25%. Find the percentage increase in its surface area

The internal and external diameters of a hollow hemispherical vessel are 20 cm and 28 cm respectively. Find the cost to paint the vessel all over at ₹ 0.14 per cm²

The total surface area of a hemisphere is how many times the square of its radius

Using the function f and g given below, find fog and gof. Check whether fog = gof

 f(x) = x – 6, g(x) = x² 

Using the function f and g given below, find fog and gof. Check whether fog = gof

f(x) = `(2)/x`, g(x) = 2x² – 1

Using the function f and g given below, find fog and gof. Check whether fog = gof

f(x) = `(x + 6)/3`, g(x) = 3 – x

Using the function f and g given below, find fog and gof. Check whether fog = gof

f(x) = 3 + x, g(x) = x – 4

Using the function f and g given below, find fog and gof. Check whether fog = gof

f(x) = 4x² – 1, g(x) = 1 + x

Find the value of k, such that fog = gof

f(x) = 3x + 2, g(x) = 6x – k

Find the value of k, such that fog = gof

f(x) = 2x – k, g(x) = 4x + 5

If f(x) = 2x – 1, g(x) = `(x + 1)/(2)`, show that fog = gof = x

If f(x) = x² – 1, g(x) = x – 2 find a, if gof(a) = 1

Find k, if f(k) = 2k – 1 and fof(k) = 5

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