The tangent at a point (1,1) to the ...

The tangent at a point (1,1) to the curve `f(x) = x^2 + bx - b ` makes a trinagle in the first quadrant with axes . If the area of this triangle is 2 Sq, units then the value of b is ……

`-1`

`-2`

`-3`

`1`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

APPLICATION OF INTEGRALS
KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -A)|6 Videos
APPLICATION OF INTEGRALS
KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -B)|3 Videos
APPLICATION OF INTEGRALS
KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXAMPLAR PROBLEMS ( OBJECTIVE TYPE QUESTIONS)|11 Videos
APPLICATION OF DERIVATIVES
KUMAR PRAKASHAN|Exercise PRACTICE PAPER - 6 (SECTION - D)|2 Videos
BOARD'S QUESTION PAPER MARCH - 2020
KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

Similar Questions

Explore conceptually related problems

The area of the region bounded by the curve y^2= 4 ax and y= mx is (a^2)/(3) Sq. units then the value of m is…………..

Find the area of the region bounded by the curve y^2 =x and the lines x=1 , x=4 and the X- axis in the first quadrant .

Find the area bounded by the curve y= sqrt(x), x= 2 y +3 in the first quadrant and Y- axis

Let y=f(x)be curve passing through (1,sqrt3) such that tangent at any point P on the curve lying in the first quadrant has positive slope and the tangent and the normal at the point P cut the x-axis at A and B respectively so that the mid-point of AB is origin. Find the differential equation of the curve and hence determine f(x).

If the length of sub-normal is equal to the length of sub-tangent at any point (3,4) on the curve y=f(x) and the tangent at (3,4) to y=f(x) meets the coordinate axes at Aa n dB , then the maximum area of the triangle O A B , where O is origin, is 45/2 (b) 49/2 (c) 25/2 (d) 81/2

If the plane x/2+y/3+z/4=1 cuts the coordinate axes in A, B,C, then the area of triangle ABC is

The area of the curve bounded by the curve f(x) = sin pi x and X - axis is ……sq. units . x in [1,3]

The slope of the tangent to the curve xy+ax+by=2 at a point (1, 1) then find the value of a and b.

KUMAR PRAKASHAN-APPLICATION OF INTEGRALS-SOLUTIONS OF NCERT EXAMPLAR PROBLEMS ( MULTIPLE CHOICE QUESTIONS)

The area of the region enclosed between the curves y= sinx + cos...
Text Solution
|
The area of the region bounded by the curves y= x^2 and y= sqr...
Text Solution
|
The tangent at a point (1,1) to the curve f(x) = x^2 + bx - b ...
Text Solution
|
The area of the region enclosed by the curves y= sin x, y = co...
Text Solution
|
The area of the region enclosed by the curve y= loge x and y...
Text Solution
|
The area of the region bounded by the curve (y-x)^2 =x^3 and the ...
Text Solution
|
The area of the region bounded by the curve y= [(x^2 )/(64 ) +2]...
Text Solution
|
The area of smallest region enclosed by the circle x^2 +y^2 =9 ...
Text Solution
|
The curve y= a sqrt(x) + bx is passing through (1,2) the area...
Text Solution
|
The area of the region bounded bwtween the curve y=2^x and y=...
Text Solution
|
The ratio of the area of the region of the curves y=cos x and ...
Text Solution
|
The area of the region bounded by the curve y=|[x-3]|, X - axis...
Text Solution
|
The area of the region bounded by the curve y= x^2 +2x +1, Y- ...
Text Solution
|
f(x) = {{:(x^2,"," x le 0),( x,"," x ge 0):} the area of the regio...
Text Solution
|
f(x) = max { sin x, cos x, 1/2} the area of the region bounded b...
Text Solution
|
f(x) = x^2 -3x +2 AA x in R the area of the region bounde...
Text Solution
|
The area of the region enclosed by the curve y=f(|x|) , x - axis...
Text Solution
|
The area of the reagion bounded by the curve y=|f(|X|) |, X- axis...
Text Solution
|
|f(|x|)=a| has six real roots then …
Text Solution
|
The number of solution of |y| = |f (|x|)| and x^2 +y^2 =2 is ……….
Text Solution
|