Find the shortest distance between the l...

Find the shortest distance between the line `y=x-2` and the parabola `y=x^2+3x+2.`

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
CENGAGE|Exercise ILLUSTRATION|2 Videos
APPLICATION OF DERIVATIVES
CENGAGE|Exercise SOLVED EXAMPLES|1 Videos
APPLICATION OF DERIVATIVES
CENGAGE|Exercise JEE Previous Year|9 Videos
3D COORDINATION SYSTEM
CENGAGE|Exercise DPP 3.1|11 Videos
APPLICATION OF INTEGRALS
CENGAGE|Exercise Solved Examples And Exercises|17 Videos

Similar Questions

Explore conceptually related problems

The shortest distance between line y-x=1 and curve x=y^2 is

The shortest distance between the lines 2x+y+z-1=0=3x+y+2z-2 and x=y=z , is

Find the shortest distance of the point (0, c) from the parabola y=x^2 , where 0lt=clt=5 .

The shortest distance between the line x=y and the curve y^(2)=x-2 is (a) 2 (b) (7)/(8) (c) (7)/(4sqrt(2)) (d) (11)/(4sqrt(2))

Find the shortest distance of the point (0, c) from the parabola y = x^(2) , where (1)/(2) lt= c lt= 5 .

Find the shortest distance between the z-axis and the line, x+y+2z-3=0,2x+3y+4z-4=0.

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)/3=(y-3)/4=(z-5)/5 .

CENGAGE-APPLICATION OF DERIVATIVES-Examples

In the curve x^(m+n)=a^(m-n)y^(2n) , prove that the m t h power of the...
Text Solution
|
Find the possible values of p such that the equation p x^2=(log)e x ha...
Text Solution
|
Find the shortest distance between the line y=x-2 and the parabola y=x...
Text Solution
|
about to only mathematics
Text Solution
|
Prove that points of the curve y^2=4a{x+asin(x/a)} at which tangents a...
Text Solution
|
Displacement s of a particle at time t is expressed as s=1/2t^3-6tdot ...
Text Solution
|
If f(x)=2x+3, g(x)=1-2x and h(x) =3x. Prove that fo(goh)=(fog)oh.
Text Solution
|
Find the derivative of y = tan^-1 (x^2-1)
Text Solution
|
Let x be the length of one of the equal sides of an isosceles triangle...
Text Solution
|
A lamp is 50ftdot above the ground. A ball is dropped from the same he...
Text Solution
|
If water is poured into an inverted hollow cone whose semi-vertical ...
Text Solution
|
A horse runs along a circle with a speed of 20k m//h . A lantern is at...
Text Solution
|
The radius of the base of a cone is increasing at the rate of 3 cm/min...
Text Solution
|
Find the approximate volume of metal in a hollow spherical shell wh...
Text Solution
|
Find approximate value of f (5.001) where f(x) =x^3-7x^2+15 .
Text Solution
|
Find the approximate change in the volume V of a cube of side x meters...
Text Solution
|
Discuss the applicability of Rolles theorem for the following functi...
Text Solution
|
If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles ...
Text Solution
|
How many roots of the equation (x-1)(x-2)(x-3)+(x-1)(x-2)(x-4) +(x-2)(...
Text Solution
|
If 2a+3b+6c = 0, then show that the equation a x^2 + bx + c = 0 has at...
Text Solution
|