Home
Class 12
MATHS
Find the product of the perpendiculars d...

Find the product of the perpendiculars drawn from the point `(x_1,y_1)` on the lines `ax^2+2hxy+by^2=0`

Text Solution

Verified by Experts

The correct Answer is:
`=(|ax_1^2+2hx_1y_1+by_1^2|)/sqrt({(a-b)^2+4h^2})`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Find the foot of the perpendicular from the point (-1, 2) on the st. line x- y +5 =0.

Find the product of the length of perpendiculars drawn from any point on the hyperbola x^2-2y^2-2=0 to its asymptotes.

Find the coordinates of the foot of the perpendicular drawn from the point (2,3) to the line y=3x+4

Find the equations of the perpendicular drawn from the point (2,4,-1) to the line : (x+5)/1=(y+3)/4=(z-6)/-9

Find the equation of the perpendicular drawn from the point (2,4,-1) to the line (x+5)/1=(y+3)/4=(z-6)/-9

Find the coordinates of the foot of perpendicular drawn from the point A(1, 8, 4) to the line joining the points B(0, -1, 3) and C(2, -3, -1). Hence find the image of the point A in the line BC.

Find the length of perpendicular from the point (5,4,-1) on the line (x-1)/(2)=y/9=z/5

Find the length of the perpendicular drawn from the point (2, 3, 7) to the plane 3x - y - z = 7. Also find the coordinates of the foot of the perpendicular.

Find the length and foot of perpendicular drawn from the point (3,2,1) onto the plane 2x-y+z+1=0. also find the equation of the plane in which they lie.

Find the equations of the perpendicular from the point (3,-1,11,) to the line : x/2=(y-2)/3=(z-3)/4