The graph of the linear equation 2x + 3y = 12 at what points cuts the X- axis and Y-axis ?
A) (0, 4), (6, 0)
B) (4, 0), (0, 6)
C) (0, 2), (3, 0)
D) (2, 0), (0, 3)
1 Answers
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Draw the graph of the equation y=3x. Form your graph, find the value of y when (i) x=2 (ii) x=-2.
Correct Answer - (i) y=6 (ii)` y=-6`
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Draw the graph of the equation `x+2y-3=0`. From your graph, find the value for y when (i) x=5 (ii) x=-5.
Correct Answer - (i) y=1 (ii) y=4
2 Answers 1 views
Draw the graph of the equation, `2x-3y=5`. From your graph , find (i) the value of y when x=4 and (ii) the value of x when y=3.
Correct Answer - (i) y=1) (ii) x=7
2 Answers 1 views
Draw the graph of line `4x+3y=24` Write the coordinates of points where this line intersects the x-axis and y-axis. Use this graph to find the area of
Correct Answer - (i) A(6,0) and B(0,8) (ii) 24 sq units
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Draw the graph for each of the equations `x+y=6 and x-y=2` on the same graph paper and find the coordinates of the point where the two straight lines
Correct Answer - (4,1)
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The points (0, 0), (0, 3), (4, 3) and (4, 0) are plotted in graph sheet. The figured formed by joining the points with straight lines is
Correct option is D) rectangle
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The graph of a linear equation is a
Correct option is (A) straight line The graph of a linear equation is a straight line.
2 Answers 1 views
The graph of a linear equation is a
2 Answers
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Graph of a linear equation is
Answer: (A) straight line
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Example 13 Find the equation' of the ellipse, with major axis along the \( x \)-axis ax passing through the points \( (4,3) \) and \( (-1,4) \).
Let the equation of ellipse be \(\frac{x^2}{a^2}\) + \(\frac{y^2}{b^2}\) = 1 ....(1) Ellipse is passing through points (4,3) & (-1,4) and major axis be x-axis. ∴ \(\frac{16}{a^2}\) + \(\frac{9}{b^2}\) = 1 ....(2) \(\frac{1}{a^2}\) + \(\frac{16}{b^2}\) = 1 ....(3) Multiplying equation (3) by 16,we get \(\frac{16}{a^2}\) + \(\frac{256}{b^2}\) = 16...
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