Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

The acute angle between the medians drawn from the acute angles of a right angled isosceles triangle is 

The angle between the lines 2x − y + 3 = 0 and x + 2y + 3 = 0 is

The medians AD and BE of a triangle with vertices A (0, b), B (0, 0) and C (a, 0) are perpendicular to each other, if

The equation of the line with slope −3/2 and which is concurrent with the lines 4x + 3y − 7 = 0 and 8x + 5y − 1 = 0 is

The coordinates of the foot of the perpendicular from the point (2, 3) on the line x + y − 11 = 0 are

The reflection of the point (4, −13) about the line 5x + y + 6 = 0 is  

Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:

8 ____ A

Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:

0 ____ A

Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:

4 _____ A

Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:

2 _____ A

Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank space:

10 _____ A

Write the following interval in Set-Builder form:

[6, 12]

Write the following sets in the roaster form.
A = {x | x is a positive integer less than 10 and 2^x – 1 is an odd number}

Write the following sets in the roaster form.
C = {x : x² + 7x – 8 = 0, x ∈ R}

State which of the following statement are true and which are false. Justify your answer.

37 ∉ {x | x has exactly two positive factors}

State which of the following statement are true and which are false. Justify your answer.

28 ∈ {y | the sum of the all positive factors of y is 2y}

State which of the following statement are true and which are false. Justify your answer.

7,747 ∈ {t | t is a multiple of 37}

Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by n + 1

Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by n² 

Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n + 5 = 8