Home
Class 12
MATHS
Prove that graphs of y=x^2+2a n dy=3x-4 ...

Prove that graphs of `y=x^2+2a n dy=3x-4` never intersect.

Text Solution

Verified by Experts

Graphs of `y = x^(3) + 2 and y = 3x + 4` intersect when `x^(2) + 2 = 3x - 4` or `x^(2) - 3x + 6 = 0` . But this equation has no real roots, hence graphs never intersect.
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE|Exercise Exercise 2.5|4 Videos

  • THEORY OF EQUATIONS

    CENGAGE|Exercise Exercise 2.6|4 Videos

  • THEORY OF EQUATIONS

    CENGAGE|Exercise Exercise 2.3|3 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise JEE Advanced Previous Year|4 Videos

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Question Bank|20 Videos

Similar Questions

Explore conceptually related problems

Prove that graphs of y=x^(2)+2 and y=3x-4 never intersect.

Prove that graphs y=2x-3 and y=x^(2)-x never interest.

Number of points in which the graphs of |y|=x+1 and (x-1)^(2)+y^(2)=4 intersect,is (A) 1

How many times does the graph of y=x^(3)-3x^(2)-x+3 intersects the x - axis :

Consider the graphs of y=Ax^(2) and y^(2)+3=x^(2)+4y, where A is a positive constant and x,y in R. Number of points in which the two graphs intersect,is

The graphs y=2x^(3)-4x+2 and y=x^(3)+2x-1 intersect at exacty 3 distinct points. The slope of the line passing through two of these point is

The graph y=2x^(3)-4x+2 and y=x^(3)+2x-1 intersect in exactly 3 distinct points.Then find the slope of the line passing through two of these points.

On what point the graph of linear equation 3x+2y =9 will intersect x-axis?