A line passes through the point of intersection of the lines 100x + 50y – 1 = 0 and 75x + 25y + 3 = 0 and makes equal intercepts on the axes. -Maths 9th

A line passes through the point of intersection of the lines 100x + 50y – 1 = 0 and 75x + 25y + 3 = 0 and makes equal intercepts on the axes. -Maths 9th
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1 Answer

Answer :

(d) x + 2y = 2Let the required equation make intercept on x-axis = 2a ⇒ intercept made on y-axis = a ∴ Eqn of the given line in the intercept from:\(rac{x}{2a}+rac{y}{a}=1\)                ...(i)Since the line given by (i) bisects the join of (3, – 4) and (5, 2), the mid-point of the line joining (3, – 4) and (5, 2) lies on (i). Mid- point of join of (3, – 4) and (5, 2) = \(\big(rac{3+5}{2},rac{-4+2}{2}\big)\) = (4, –1)Putting (4, –1) in (i), we get\(rac{4}{2a}+rac{-1}{a}=1\) ⇒ \(rac{4-2}{2a}\) = 1 ⇒ \(rac{2}{2a}\) = 1 ⇒ a = 1.∴ Required equation of line : \(rac{x}{2 imes1}+rac{y}{1}=1\) ⇒ x + 2y = 2.
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What do you mean by Rectangular Axes? -Maths 9th

Description : What do you mean by Rectangular Axes? -Maths 9th

Last Answer : (c) \(rac{19}{90}\)In the words ASSISTANT' and STATISTICS', N' and C' are the uncommon letters. The same letters are A, I, S and T whose numbers in both the words are as follows:AISTASSISTANT\( ightarrow\)2132STATISTICS\( ightarrow\ ... 1}{45}\) + \(rac{1}{10}\) + \(rac{1}{15}\) = \(rac{19}{90}\).

Check whether the graph of the equation y = 3x + 5 passes through the origin or not. -Maths 9th

Description : Check whether the graph of the equation y = 3x + 5 passes through the origin or not. -Maths 9th

Last Answer : Solution :-

The graph of a linear equation in two variables always passes through three quadrants of the graph paper. True/false -Maths 9th

Description : The graph of a linear equation in two variables always passes through three quadrants of the graph paper. True/false -Maths 9th

Last Answer : answer:

what- use the slopes and y- intercepts of he lines to determine the number of solutions to the system?

Description : what- use the slopes and y- intercepts of he lines to determine the number of solutions to the system?

Last Answer : which of these describes the type of system above