Given: \[y\text{ }=\text{ }\surd 3x\text{ }+\text{ }1\ldots \ldots \text{ }\left( 1 \right)\] \[y\text{ }=\text{ }4\text{ }\ldots \ldots .\text{ }\left( 2 \right)\] and \[y\text{ }=\text{ }\text{...
Exercise 23.10
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Find the area of the triangle formed by the lines y = m1x + c1, y = m2x + c2 and x = 0
Given: \[y\text{ }=\text{ }{{m}_{1}}x\text{ }+\text{ }{{c}_{1}}~\ldots \text{ }\left( 1 \right)\] \[y\text{ }=\text{ }{{m}_{2}}x\text{ }+\text{ }{{c}_{2}}~\ldots \text{ }\left( 2 \right)\] and ,...
Find the coordinates of the vertices of a triangle, the equations of whose sides are: (i) x + y – 4 = 0, 2x – y + 3 0 and x – 3y + 2 = 0 (ii) y (t1 + t2) = 2x + 2at1t2, y (t2 + t3) = 2x + 2at2t3 and, y(t3 + t1) = 2x + 2at1t3.
\[\left( \mathbf{i} \right)~x\text{ }+\text{ }y\text{ }\text{ }4\text{ }=\text{ }0,\text{ }2x\text{ }\text{ }y\text{ }+\text{ }3\text{ }0\] and \[x\text{ }\text{ }3y\text{ }+\text{ }2\text{ }=\text{...
Find the point of intersection of the following pairs of lines: (i) 2x – y + 3 = 0 and x + y – 5 = 0 (ii) bx + ay = ab and ax + by = ab
\[\left( \mathbf{i} \right)~2x\text{ }\text{ }y\text{ }+\text{ }3\text{ }=\text{ }0\] And \[x\text{ }+\text{ }y\text{ }\text{ }5\text{ }=\text{ }0\] Given: The equations of the lines are: \[2x\text{...