Home
Class 12
MATHS
The straight line y = x - 2 rotates abou...

The straight line `y = x - 2` rotates about a point where it cuts x-axis and become perpendicular on the straight line `ax + by + c = 0` then its equation is

A

`ax +by +20 = 0`

B

`ax - by - 2a = 0`

C

`bx +ay - 2b = 0`

D

`ay - bx +2b = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
Slopes of the line in the new position is bla, since it is perpendicular to the line `ax +by +c = 0` and it cuts the x-axis . Hence the required line passes through (2,0) and its slope is bla. The required is `y - 0 = (b)/(a) (x-2)` or `ay = bx - 2b`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    CENGAGE ENGLISH|Exercise Comprehension Type|3 Videos

  • STRAIGHT LINE

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|8 Videos

  • STATISTICS

    CENGAGE ENGLISH|Exercise Archives|10 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise ARCHIVES (NUMERICAL VALUE TYPE)|1 Videos

Similar Questions

Explore conceptually related problems

The straight line x-y-2=0 cuts the axis of x at Adot It is rotated about A in such a manner that it is perpendicular to a x+b y+c=0 . Its equation is: (a) b x-a y-2b=0 (b) a x-b y-2a=0 (c) b x+a y-2b=0 (d) a x+b y+2a=0

Find the equation of the straight line which passes through the point (4, 5) and is perpendicular to the straight line 3x-2y+5=0 .

What is the equation of the straight line which passes through the point of intersection of the straight lines x+2y=5 and 3x+7y=17 and is perpendicular to the straight line 3x+4y=10 ?

Find the equation to the straight line which passes through the point of intersection of the straight lines x+2y=5 and 3x+7y=17 and is perpendicular to the straight line 3x+4y=10

The straight line x/a+y/b=1 cuts the axes in A and B and a line perpendicular to AB cuts the axes in P and Q. Find the locus of the point of intersection of AQ and BP .

Find the equation of a straight line which passes through the point of intersection of the straight lines x+y-5=0 and x-y+3=0 and perpendicular to a straight line intersecting x-axis at the point (-2,0) and the y-axis at the point (0,-3).

A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of 60^(@) with the line x+y=0 . Then, an equation of the line L is

Consider a pair of perpendicular straight lines ax^(2)+3xy-2y^(2)-5x+5y+c=0 . The value of c is

Find the equation of the straight line that passes through the point (3,4) and is perpendicular to the line 3x+2y+5=0

Find the equation of the straight line that passes through the point (3,4) and is perpendicular to the line 3x+2y+5=0