Home
Class 12
MATHS
Let f(x)={{:(-x^(2)","," for "xlt0),(x^(...

Let `f(x)={{:(-x^(2)","," for "xlt0),(x^(2)+8",",xge0):}`. Then the absolute value of x-intercept of the line that is tangent to the graph of f(x) is …………

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Subjective Type Questions)|12 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Matching Type Questions)|1 Videos

  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

Let f(x){:{(1+sinx", "xlt0),(x^(2)-x+1ge0):} Then

if f(x) ={{:( x-1, xlt 0),( x^(2) - 2x , x ge 0):} , then

Let f(x)={{:(x^(2)+4,":",xlt0),(4-2x,":",xge0):} then the area bounded by y=f(x) and the x - axis from x=-1" to "x=3 is equal to

Let f(x)={{:(8^((1)/(x))",",xlt0,),(a[x]",",a inR-{0}",",xge0):} (where [.] denotes the greatest integer function). Then f(x) is

If f(x)={{:(x","" "xlt0),(1","" "x=0),(x^(2)","" "xgt0):}," then find " lim_(xto0) f(x)" if exists.

Letf(x)={{:(x+1,", "if xge0),(x-1,", "if xlt0):}".Then prove that" lim_(xto0) f(x) does not exist.

Let f:RtoR is given by f(x)={(p+qx+x^(2),xlt2),(2px+3qx^(2),xge2):} then:

Let f(x)={{:(cos[x]", "xle0),(|x|+a", "xlt0):}. Then find the value of a, so that lim_(xto0) f(x) exists, where [x] denotes the greatest integer function less than or equal to x.

Let f(x)=(1)/(1+x^(2)), let m be the slope, a be the x-intercept and b be they y-intercept of a tangent to y=f(x). Absicca of the point of contact of the tangent for which m is greatest, is

Let f(x) = {-x^2 ,for x<0x^2+8 ,for xgeq0 Find x intercept of tangent to f(x) at x =0 .