Home
Class 12
MATHS
If the line passing through (4,3)a n d(2...

If the line passing through `(4,3)a n d(2,k)` is parallel to the line `y=2x+3,` then find the value of `kdot`

Text Solution

Verified by Experts

The correct Answer is:
`-1`
The slope of line passing through (4,3) and (2,k)
`m_1=(k-3)/(2-4)=(3-k)/(2)`
The slope of the given line `y=2x+3`,
`m_2=2`
The lines are parallel. Therefore,
`(3-k)/(2)=2`
or `k=-1`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.5|5 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.6|9 Videos

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.3|10 Videos

  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos

  • CROSS PRODUCTS

    CENGAGE|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

If line 3x-a y-1=0 is parallel to the line (a+2)x-y+3=0 then find the value of adot

A line passing through the points (a,2a) and (-2,3) is perpendicular to the line 4x+3y+5=0 find the value of a.

Find the equation of a line through (-1,3)parallel to the line x-2y+5=0

Find the equation of the plane passing through the points (1,0,-1)a n d(3,2,2) and parallel to the line x-1=(1-y)/2=(z-2)/3dot

Write the equation of the line passing through the point (1,-1) and parallel to the line x+3y -4=0

Find the vector equation of the line passing through the point (2,-1,-1) which is parallel to the line 6x-2=3y+1=2z-2.

Find the equation of line passing through point (2,-5) which is (i) parallel to the line 3x + 2y - 4 = 0 (ii) perpendicular to the line 3x + 2y - 4 =0

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

Find the equation of the line passing through (-3, 5) and perpendicular to the line through the points (2,5) and (-3, 6).