Related InterviewSolutions

• Find the equations to the altitudes of the triangle whose angularpoints are `A(2,-2),B(1,1)a n dC(-1,0)dot`
• Find the value of `m`for which the lines `m x+(2m+3)y+m+6=0a n dm x+(2m+1)x+(m-6)y+9=0`intersect at a; point on `y-a xi sdot`
• A line forms a triangle of area `54sqrt(3)s q u a r e`units with the coordinate axes. Find the equation of the line if theperpendicular drawn from the origin to the line makes an angle of `60^0`with the X-axis.
• Show that the line `x-y-6=0,4x-3y-20=0a d n6x+5y+8=0`are concurrent. Also, find their common point of intersection.
• Find the equation of the internal bisector of angle `B A C`of the triangle `A B C`whose vertices `A ,B ,C`are`(5,2),(2,3)a n d(6,5)`respectively.
• The equation of the base of an equilateral triangle is `x+y=2`and its vertex is `(2,-1)dot`Find the length and equations of its sides.
• Find the equation of a straight line which makes an angle of `tan^(-1)sqrt(2)`with the x-axisand cuts off an intercept of `=3/(sqrt(2))`with the y-axis
• Find the coordinates of the foot of the perpendicular drawn from thepoint `(1,-2)`on the line `y=2x+1.`
• Find the equation of the straight line which cuts off intercept onX-axis which is twice that on Y-axis and is at a unit distance from theorigin.
• Find the coordinates of the incentre and centroid of the triangle whosesides have the equations `3x-4y=0,12 y+5x=0 and y-15=0.`