Practice Questions 5-Straight Lines-Class XI

Find the co-ordinates of A(x,0) & B(0,y) where C(3,5) is the mid point of \(\overline {AB} \)

Find the equation of \(\overline {AP} \), where P is the midpoint of \(\overline {BC} \) & vertices are A(5,7), B(-3,7) & C(7,9)

If the line\(\dfrac{x}{a} + \dfrac{y}{b} = 1\) passes through the points (3,4) and (-4,7), then (a,b) is

Find the co-ordinate of incenter of the triangle with vertices (0,0), (3,4) & (4,0) is

The line \(\dfrac{x}{a} + \dfrac{y}{b} = 1\) moves in such a way that \(\dfrac{1}{{{a^2}}} + \dfrac{1}{{{b^2}}} = \dfrac{1}{{{c^2}}}\), where c is a constant. The locus of the foot of the perendicular from origin on the line is

Find the value of \(\lambda \), if the line \(\left( {2x + 3y + 4} \right) + \lambda \left( {6x – y + 12} \right) = 0\) are passes through (1,2) is