Given: The lines: \[4x\text{ }+\text{ }3y\text{ }+\text{ }10\text{ }=\text{ }0;\text{ }5x\text{ }\text{ }12y\text{ }+\text{ }26\text{ }=\text{ }0\] And \[7x\text{ }+\text{ }24y\text{ }=\text{ }50.\]...
Reduce the lines 3x – 4y + 4 = 0 and 2x + 4y – 5 = 0 to the normal form and hence find which line is nearer to the origin.
Given: The normal forms of the lines: \[3x\text{ }-\text{ }4y\text{ }+\text{ }4\text{ }=\text{ }0\] And \[~2x\text{ }+\text{ }4y\text{ }-\text{ }5\text{ }=\text{ }0.\] To find, in given normal form...
Put the equation x/a + y/b = 1 the slope intercept form and find its slope and y – intercept.
Given: the equation is: \[~x/a\text{ }+\text{ }y/b\text{ }=\text{ }1~\] As , General equation of line \[~y\text{ }=\text{ }mx\text{ }+\text{ }c.\] \[bx\text{ }+\text{ }ay\text{ }=\text{ }ab\]...
Reduce the following equations to the normal form and find p and α in each case: (i) x + √3y – 4 = 0 (ii) x + y + √2 = 0
\[\left( \mathbf{i} \right)~x\text{ }+\text{ }\surd 3y\text{ }\text{ }4\text{ }=\text{ }0\] \[x\text{ }+\text{ }\surd 3y\text{ }=\text{ }4\] The normal form of the given line, \[where\text{ }p\text{...
Reduce the equation √3x + y + 2 = 0 to: (iii) The normal form and find p and α.
(iii) Given: \[\surd 3x\text{ }+\text{ }y\text{ }+\text{ }2\text{ }=\text{ }0~\] \[-\surd 3x\text{ }\text{ }y\text{ }=\text{ }2\]
Reduce the equation √3x + y + 2 = 0 to: (i) slope – intercept form and find slope and y – intercept; (ii) Intercept form and find intercept on the axes
(i) Given: \[\surd 3x\text{ }+\text{ }y\text{ }+\text{ }2\text{ }=\text{ }0~\] \[y\text{ }=\text{ }\text{ }\surd 3x\text{ }\text{ }2\] following is the slope intercept form of the given line....