Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2017MathematicsApplication of DerivativesActual

Line joining the points ( 0 , 3 ) and ( 5 , - 2 ) is a tangent to the curve y = a x 1 + x , then

Options

  1. Aa = 1 ± 3
  2. Ba ∈ ϕ
  3. Ca = - 1 ± 3
  4. Da = - 2 ± 2 3

Correct answer

B. a ∈ ϕ

Step-by-step solution

Equation of line joining the points ( 0 , 3 ) and ( 5 , - 2 ) is y = 3 - x . If this line is tangent to y = a x ( x + 1 ) , then ( 3 - x ) ( x + 1 ) = a x should have equal roots. Thus, ( a - 2 ) 2 + 12 = 0 ⇒ No value of a ⇒ a ∈ ϕ

Practice Application of Derivatives on Quantrex Academy →

More from Application of Derivatives

The maximum area of rectangle inscribed in a circle of diameter R is 2024Consider the function f(x)= |x-1| x^2 , then f(x) is 2024The maximum volume (in cu. units) of the cylinder which can be inscribed in a sphere of radius 12 units is 2024If the angle made by the tangent at the point (x₀, y₀ ) on the curve x=12(t+ t t), y=12(1+ t)^2, 0 t 2 , with the positive x -axis is 3 , then y₀ is equal to 2024The altitude of a cone is 20 cm and its semivertical angle is 30^ . If the semi-vertical angle is increasing at the rate of 2^ per second, then the radius of the base is increasing 2024The point of inflexion for the curve y=(x-a)^n , where n is odd integer and n 3 is 2024The population p(t) at time t of a certain mouse species satisfies the differential equation d p(t) d t =0.5 p ( t )-450 . If p(0)=850 , then the time at which the population becom 2024The function f(x)= (1+x)- 2 x 2+x is increasing on 2023 Full Application of Derivatives list All BITSAT PYQs