Class 11 Mathematics - Chapter Linear Inequalities NCERT Solutions | Solve 24x < 100, when    (

Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.

A point is on the x-axis. What are its y-coordinates and z-coordinates?

How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that

(i) repetition of the digits is allowed?

(ii) repetition of the digits is not allowed?

Find the equation of the circle with centre (0, 2) and radius 2

Describe the sample space for the indicated experiment: A coin is tossed three times.

Which of the following sentences are statements? Give reasons for your answer.

(i) There are 35 days in a month.

(ii) Mathematics is difficult.

(iii) The sum of 5 and 7 is greater than 10.

(iv) The square of a number is an even number.

(v) The sides of a quadrilateral have equal length.

(vi) Answer this question.

(vii) The product of (–1) and 8 is 8.

(viii) The sum of all interior angles of a triangle is 180°.

(ix) Today is a windy day.

(x) All real numbers are complex numbers.

If the set A has 3 elements and the set B = {3, 4, 5}, then find the number of elements in (A×B).

The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.

A point is in the XZ-plane. What can you say about its y-coordinate?

Find the sum of integers from 1 to 100 that are divisible by 2 or 5.

If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are .

Find the sum to 20 terms in the geometric progression 0.15, 0.015, 0.0015 …

The sum of some terms of G.P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms.

A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?

If the p^th, q^th and r^th terms of a G.P. are a, b and c, respectively. Prove that a^q-rb^r-pc^p-q=1

Sum of the first p, q and r terms of an A.P. are a, b and c, respectively.

Prove that 

Insert two numbers between 3 and 81 so that the resulting sequence is G.P.

If the sum of n terms of an A.P. is 3n² + 5n and its mth term is 164, find the value of m.

Find the sum to n terms of the series whose nth terms is given by n² + 2n