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Boundaries of solids are: (A) Surfaces (B) Curves (C) Lines (D) Points

The correct answer is (A) Surfaces Solution The boundaries of surfaces are curves. .... View Article

The total number of propositions in the Elements are: (A) 465 (B) 460 (C) 13 (D) 55

The correct answer is (A) 465 Solution This part of geometry was exercised by the Greek mathematician Euclid, who has also described it... View Article

Euclid divided his famous treatise “The Elements” into: (A) 13 chapters (B) 12 chapters (C) 11 chapters (D) 9 chapters

The correct answer is (A) 13 chapters Solution This part of geometry was exercised by the Greek mathematician Euclid, who has also... View Article

The number of dimension, a point has: (A) 0 (B) 1 (C) 2 (D) 3

The correct answer is (A) 0 Solution According to Euclid's postulate the three steps from solids to points as solids-surface-lines-points.... View Article

The number of dimensions, a surface has: (A) 1 (B) 2 (C) 3 (D) 0

The correct answer is (B) 2 Solution According to Euclid's postulate the three steps from solids to points as solids-surface-lines-points.... View Article

The number of dimensions, a solid has: (A) 1 (B) 2 (C) 3 (D) 0

The correct answer is (C) 3 Solution According to Euclid's postulate the three steps from solids to points as solids-surface-lines-points.... View Article

The three steps from solids to points are: (A) Solids – surfaces – lines – points (B) Solids – lines – surfaces – points (C) Lines – points – surfaces – solids (D) Lines – surfaces – points – solids

The correct answer is (A) Solids – surfaces – lines – points Solution According to Euclid's postulate the three... View Article

Draw the graph of the linear equation 3x + 4y = 6. At what points, the graph cuts X and Y-axis?

Solution According to the given details The equation is 3x + 4y = 6. We require at least 2 points on the graph to draw the graph of this... View Article

The following observed value of x and y are thought to satisfy a linear equation. Write the linear equation. Draw the graph using the value of x, y as given in the above table. At what points the graph of the linear equation (i) cuts the X-axis ? (ii) cuts the Y-axis?

x 6 – 6 y – 2 6 Solution We know that, The linear equation of a line is represented by y = mx + c, where, c is the... View Article

Show that the points A (1, 2), B ( – 1, – 16) and C (0, – 7) lie on the graph of the linear equation y = 9x – 7.

Given The linear equation y = 9x – 7. To Prove The points A (1, 2), B ( – 1, – 16) and C (0, – 7) lie on the graph of the... View Article

Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa.

Solution According to the given details A linear equation such that each point on its graph has an ordinate(y) which is 3 times its... View Article

Draw the graph of the linear equation whose solutions are represented by the points having the sum of the coordinates as 10 units.

Solution According to the given details The linear equation, x + y = 10 We get, x = 10 – y Values of x and y satisfying the... View Article

Draw the graph of the equation represented by a straight line which is parallel to the x-axis and at 3 units below.

Solution According to the given details The linear equation, y = – 3 Values of x and y satisfying the equation are tabulated below... View Article

Determine the point on the graph of the linear equation 2x + 5y = 19 whose ordinate is 11/2 times its abscissa.

Solution From the given details 2x + 5y = 19 …(i) It is mentioned that Ordinate is times its abscissa ⇒ y = x... View Article

Draw the graphs of linear equations y = x and y = – x on the same Cartesian plane. What do you observe?

Solution Equations of degree one and having two variables are known as linear equations in two variables. It is of the form, ax +by +c = 0,... View Article

The graph given below represents the linear equation x + y = 0. Write whether the following statement is True or False? Justify your answer.

The given statement is True. Solution Given equation x + y = 0. x = – y From the graph, we get the points ( – 3, 3) and (... View Article

The graph of the linear equation x + 2y = 7 passes through the point (0, 7). Write whether the following statement is True or False? Justify your answer.

The given statement is False. Solution Given equation x + 2y = 7. On ubstituting the values of x = 0 and y = 7 from the point (0, 7) in the... View Article

The point (0, 3) lies on the graph of the linear equation 3x + 4y = 12. Write whether the following statement is True or False? Justify your answer.

The given statement is True. Solution Given equation 3x + 4y = 12. On ubstituting the values of x = 0 and y = 3 from the point (0, 3) in... View Article

The equation of x – axis is of the form A. x = 0 B. y = 0 C. x + y = 0 D. x = y

The correct answer is B. y = 0 Solution The points on the x-axis are of the form (a, 0), where a is any real number. The y-coordinate of the... View Article

Any point on the line y = x is of the form A. (a, a) B. (0, a) C. (a, 0) D. (a, – a)

The correct answer is A. (a, a) Solution Any point on the line y = x will have x and y coordinate the same. So, any point on the line y = x is... View Article

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