At what point does the graph of the linear equation x + y = 5 meet a line which is parallel to the y-axis, at a distance 2 units from the origin and in the positive direction of x-axis.
Find the points where the graph of the equation 3x + 4y = 12 cuts the x-axis and the y-axis
State whether true or false:
(a) James Mill was a severe critic of the Orientalists.
(b) The 1854 Despatch on education was in favour
English being introduced as a medium of higher
education in India.
(c) Mahatma Gandhi thought that promotion of
literacy was the most important aim of education.
(d) Rabindranath Tagore felt that children ought to
be subjected to strict discipline.
Match the following:
William Jones promotion of English
education
Rabindranath respect for ancient cultures
Tagore
Thomas Macaulay gurus
Mahatma Gandhi learning in a natural
environment
Pathshalas critical of English education
Write whether the following statements are True or False? Justify your answers.
(i) ax + by + c = 0, where a, b and c are real numbers, is a linear equation in two variables.
(ii) A linear equation 2x + 3y = 5 has a unique solution.
(iii) All the points (2, 0), (–3, 0), (4, 2) and (0, 5) lie on the x-axis.
(iv) The line parallel to the y-axis at a distance 4 units to the left of y-axis is given by the equation x = – 4.
(v) The graph of the equation y = mx + c passes through the origin
The point of the form (a, – a) always lies on the line
(A) x = a (B) y = – a (C) y = x (D) x + y = 0
The point of the form (a, a) always lies on :
(A) x-axis (B) y-axis
(C) On the line y = x (D) On the line x + y = 0
How many linear equations in x and y can be satisfied by x = 1 and y = 2?
(A) Only one (B) Two (C) Infinitely many (D) Three
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation :
(A) Changes
(B) Remains the same
(C) Changes in case of multiplication only
(D) Changes in case of division only
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