Question

The equation of line passes (-1,4) and
perpendicular to the line 3x + 4y + 5 = 0 is
Option 1:
3x + 4y + 13 = 0
Option 2:
4x + 3y + 8 = 0
Option 3:
3x - 4y = 16
Option 4
4x - 3y = 16​

Answer 1

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Class 11

MATHS

STRAIGHT LINES

Find the coordinates of the foot of perpendicular from the point

to the line

.

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Text Solution

Solution :

Given line is

<br> We will bring it in general form,

<br>

<br>

<br> So, slope of given line,

.<br> Now, if slope of perpendicular to this line is

. then,<br>

<br>

<br>

<br> Now, equation of this line at point (-1,3),<br>

<br>

<br>

<br> Now, we will solve equation (1) and equation (2) to find the point of intersection.<br> Multiplying (1) with 3, and multiplying (2) with 4 and then adding them,<br>

<br>

<br> Putting value of

in (1),<br>

<br>

<br> So, coordinates of foot of perpendicular will be

.

Step-by-step explanation:foll me and I foll you

Answer 2

Answer:

4× + 3y + 8 = 0

3× + 4y = 16

3× 4y + 13 = 0