ISC (Arts) इयत्ता १२ - CISCE Important Questions

What is meant by a group test of intelligence?

Discuss any four uses of achievement tests.

Define personality, according to Eysenck.

Discuss the Raven’s Progressive Matrices Test for measuring intelligence.  

What is meant by a group test of intelligence?

Explain the distress cycle.

What is meant by phobia?

What is obsessive-compulsive disorder?

Explain the term mood disorder.

If the function f : R → R be defined by f(x) = 2x − 3 and g : R → R by g(x) = x³ + 5, then find the value of (fog)⁻¹ (x).

Let f : W → W be defined as

`f(n)={(n-1, " if n is odd"),(n+1, "if n is even") :}`

Show that f is invertible a nd find the inverse of f. Here, W is the set of all whole
numbers.

The binary operation *: R x R → R is defined as a *b = 2a + b Find (2 * 3)*4

If the function `f(x) = sqrt(2x - 3)` is invertible then find its inverse. Hence prove that `(fof^(-1))(x) = x`

Let \[f\left(x\right) = x^3\] be a function with domain {0, 1, 2, 3}. Then domain of \[f^{-1}\] is ______.

A relation R on (1, 2, 3) is given by R = {(1, 1), (2, 2), (1, 2), (3, 3), (2, 3)}. Then the relation R is ______.

If f(x) = [4 – (x – 7)³]^1/5 is a real invertible function, then find f^–1(x).

Let A = R – {2} and B = R – {1}. If f: A `→` B is a function defined by f(x) = `(x - 1)/(x - 2)` then show that f is a one-one and an onto function.

Let L be a set of all straight lines in a plane. The relation R on L defined as 'perpendicular to' is ______.

Which one of the following graphs is a function of x?

Graph A	Graph B

Let `f : R {(-1)/3} → R - {0}` be defined as `f(x) = 5/(3x + 1)` is invertible. Find f^–1(x).