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Question 1
Question: Which of the following equations have x=2, y=3 as solution ? (a) 8x-y = 12 (b) 2x+3y = 10 Answer: (a) Substitute x=2, y=3 in 8x-y=12 8(2)-3=12 16-3=12 ..
Question: Which of the following equations have x=2, y=3 as solution ? (a) 8x-y = 12 (b) 2x+3y = 10 Answer: (a) Substitute x=2, y=3 in 8x-y=12 8(2)-3=12 16-3=12 ..Question 2
Question: Find the values of a so that x=1, y=2 is a solution of: (a) 2x+ay=10 (b) ax+2y=6 (c) x+2y=a Answer: (a) 2x+ay=10, substitute x=1, y=..
Question: Find the values of a so that x=1, y=2 is a solution of: (a) 2x+ay=10 (b) ax+2y=6 (c) x+2y=a Answer: (a) 2x+ay=10, substitute x=1, y=..Question 10
2x - 3 6y - 2x + 3..
2x - 3 6y - 2x + 3..Question 10
Question: A point A is at a distance from the point (4, 3). Find the co-ordinates of point A, if its ordinate is twice of its abscissa. [3 Mark] Answer: Ordinate is y-co-ordinate and Abscissa is x co-ordinate. Let the co-ordinates of A be (x, y..
Question 10
Where m = 2, n = 1, 12 = 2x + 6, 6 = 2y - 2 6 = 2x, 8 = 2y 3 = x, 4 = y Substituting the values of x, y in Co-ordinates of mid point of A..
Question 9
Question: Find the ratio in which the straight line 2x + 3y - 5 = 0 divides the line joining two points (-4,1) and (2,7). Answer: Let m:n be the ratio in which the line divides the line joining the points (-4,1) and (2,7). ..
Question: Find the ratio in which the straight line 2x + 3y - 5 = 0 divides the line joining two points (-4,1) and (2,7). Answer: Let m:n be the ratio in which the line divides the line joining the points (-4,1) and (2,7). ..Equation of a line parallel to y-axis:
Let LM be a straight line parallel to y-axis at a distance k from the y-axis. Then, the abscissa (the x-coordinate), x=k. Hence, the equation of the line parallel to y-axis is x = k. ..
Let LM be a straight line parallel to y-axis at a distance k from the y-axis. Then, the abscissa (the x-coordinate), x=k. Hence, the equation of the line parallel to y-axis is x = k. ..To show that a homogenous equation of degree n in x and y represents n straight lines passing through the origin
Any homogenous equation of the n t h degree in x and y is This is an n th degree equation in and so has n roots. Let the roots be m 1 , m 2 , ......... m n so that the given equation reduces to ..
Any homogenous equation of the n t h degree in x and y is This is an n th degree equation in and so has n roots. Let the roots be m 1 , m 2 , ......... m n so that the given equation reduces to ..Homogenous equation of second degree in x and y represents a pair of straight lines passing through the origin
To show that a homogenous equation of second degree in x and y represents a pair of straight lines passing through the origi..
Let the line pass through A(x1, y1) and B(x2, y2), the two given points.
Let P (x, y) be any point on the line joining A and B. Slope of AP = Slope of AB = Slope of PB The equation of the line is or..
Let P (x, y) be any point on the line joining A and B. Slope of AP = Slope of AB = Slope of PB The equation of the line is or.. Result
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