A line passes through (x(1), y(1)) and (...

A line passes through (`x_(1), y_(1)`) and (h, k). If slope of the line is m, show that `k-y_(1) = m(h-x_(1))`.

Topper's Solved these Questions

STRAIGHT LINES
NEW JOYTHI PUBLICATION|Exercise EXERCISE|53 Videos
STRAIGHT LINES
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|122 Videos
STATISTICS
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos
THREE DIMENSIONAL GEOMETRY
NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

Similar Questions

Explore conceptually related problems

Three points P (h, k), Q(x_(1) , y_(1))" and " R (x_(2) , Y_(2)) lie on a line. Show that (h - x_(1)) (y_(2) - y_(1)) = (k - y_(1)) (x_(2) - x_(1)) .

A straight line passes through (1,2) and has the equation y-2x-k =0 . Find k.

If three points (h, 0),(a, b) and (0, k) lie on a line, show that a/h + b/k = 1 .

Prove that the line through the point (x_(1) , y_(1)) and parallel to the line Ax + By + C =0 " is " A (x - x_(1)) + B (y - y_(1)) = 0 .

Find k if the line passing through points P(-12,-3) and Q(4,k) has slope 1/2 .

The equation of the line passing through the origin and the point of intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 is

Find the slope of the lines : Passing through the points (3, -2) " and " (-1, 4)

A line L passing through the focus of the parabola y^2=4(x-1) intersects the parabola at two distinct points. If m is the slope of the line L , then -1 1 m in R (d) none of these

Show that the equation of the line passing through the origin and making an angle theta " with the line " y = mx + c " is " y/x = (m pm tan)/(1 pm m tan) .

If the line 2x + y = k passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3 : 2, then k equals

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS

A line passes through (x(1), y(1)) and (h, k). If slope of the line is...
Text Solution
|
The incentre of the triangle ABC where A(-36, 7) B (20,7) and C (0,-8...
Text Solution
|
The foot of the perpendicular from the point (3,4) on the line 3x – 4...
Text Solution
|
The equation of the base BC of an equilateral triangle ABC is x+y= 2 ...
Text Solution
|
The product of the perpendiculars from (-1,2) to the pair of lines ...
Text Solution
|
The distance between the pair of parallel lines x^(2) + 4xy + 4y^(2) ...
Text Solution
|
The four lines 6x^(2) – 5xy - 6y^(2) + x+5y–1=0 and 6x^(2) – 5xy -6y^...
Text Solution
|
The foot of perpendicular from (-2, 3) to the line 2x - y - 3 = 0 is
Text Solution
|
If the lines x - y - 1 = 0, 4x + 3y = k and 2x – 3y +1 = 0 are concur...
Text Solution
|
The centroid of a triangle formed by the points (0,0), (cos theta, si...
Text Solution
|
The orthocentre of the triangle formed by (8,0) and (4, 6) with the o...
Text Solution
|
If xy - 4x + 3y - lambda=0 represents the asymptotes of xy - 4x + 3y ...
Text Solution
|
The inclination of the straight line passing through the point (-3, 6...
Text Solution
|
A point moves such that the area of the triangle formed by it with th...
Text Solution
|
The line (x)/(a)-(y)/(b) =1 cuts the x-axis at P. The equation of t...
Text Solution
|
The value of lambda for which the lines 3x + 4y=5, 2x+3y=4 and lambda...
Text Solution
|
The orthocentre of the triangle whose vertices are (5,-2), (-1, 2) an...
Text Solution
|
Distance between the lines 5x + 3y-7 = 0 and 15x +9y + 14 = 0 is
Text Solution
|
If the equation 2x^(2) + 7xy+3y^(2) - 9x - 7y+k=0 represents a pair o...
Text Solution
|
The angle between the lines 2x - y+3 = 0 and x + 2y + 3 = 0 is
Text Solution
|
Distance between the pair of lines represented by the equation x^(2)–...
Text Solution
|