Home
Class 12
MATHS
Are the points (3,4) and (2,-6) on the s...

Are the points `(3,4)` and `(2,-6)` on the same or opposite sides of the line `3x-4y=8?`

Text Solution

AI Generated Solution

To determine whether the points (3, 4) and (2, -6) are on the same side or opposite sides of the line given by the equation \(3x - 4y = 8\), we will follow these steps: ### Step 1: Rewrite the line equation We can express the line in the form \(L(x, y) = 3x - 4y - 8\). This will help us evaluate the position of the points relative to the line. ### Step 2: Evaluate the line function for the first point (3, 4) Substituting \(x = 3\) and \(y = 4\) into the line function: \[ ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise EXAMPLE|12 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 2.1|23 Videos

  • STRAIGHT LINE

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|8 Videos

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

Similar Questions

Explore conceptually related problems

Examine whether the points (3, -4) and (2, 6) are on the same or opposite sides of the line 3x-4y=9 ?

Are the points (2, 3) and (1, 3) on the same side or on opposite sides of the line x-2y=-3 .

Are the points (2,1) and (-3,5) on the same or opposite side of the line 3x - 2y + 1 = 0 ?

Statement 1:If the point (2a-5,a^2) is on the same side of the line x+y-3=0 as that of the origin, then a in (2,4) Statement 2: The points (x_1, y_1)a n d(x_2, y_2) lie on the same or opposite sides of the line a x+b y+c=0, as a x_1+b y_1+c and a x_2+b y_2+c have the same or opposite signs.

If P is a point (x ,y) on the line y=-3x such that P and the point (3, 4) are on the opposite sides of the line 3x-4y=8, then

If P is a point (x ,y) on the line y=-3x such that P and the point (3, 4) are on the opposite sides of the line 3x-4y=8, then x >8/(15) (b) x >8/5 y<-8/5 (d) y<-8/(15)

The points (3,4) and (2,-6) are situated on the .......... Of the line 3x-4y-8-=0

Statement I The points (3,2) and (1,4) lie on opposite side of the line 3x-2y-1 =0 Statement II The algebraic perpendicular distance from the given the point to the line have opposite sign

If the point (1,2) and (34) were to be on the same side of the line 3x-5y+a=0 then

If the points (1, 2) and (3, 4) were to be on the opposite side of the 3x - 5y + alpha = 0 , then: