Home
Class 12
MATHS
Show that the curves y = 2^(x) and y = 5...

Show that the curves `y = 2^(x) and y = 5^(x)` intersect at an angle `tan^(-1) |("1n ((5)/(2)))/(1 + 1n 2 1n 5)|`.
Note Angle between two curves is the angle between their tangents at the point of intersection.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PRAKASHAN|Exercise TOPIC-2 (PRACTICE QUESTIONS) (1 MARK Questions)|25 Videos

  • APPLICATION OF DERIVATIVES

    ARIHANT PRAKASHAN|Exercise TOPIC-2 (PRACTICE QUESTIONS) (4 MARK Questions)|12 Videos

  • APPLICATION OF DERIVATIVES

    ARIHANT PRAKASHAN|Exercise TOPIC-1 (PRACTICE QUESTIONS) (6 MARK Questions)|7 Videos

  • AREA UNDER PLANE CURVES

    ARIHANT PRAKASHAN|Exercise Chapter Test |11 Videos

Similar Questions

Explore conceptually related problems

Prove that the curves x = y^(2) and xy = k cut at right angles, if 8k^(2) = 1 .

Show that the curves ax^2 + by^2 = 1 and a' x^2 + b' y^2 = 1. Intersect at right angles if 1/a - 1/b = 1/a' - 1/b' cdot

Find the angle between the tangents to the curve y=x^2-5x+6 at the points (2,0) and (3,0).

The angle between the planes x+y+z+1=0 and 2x+y+z+2=0 is_____.

Find the angle between the planes x+2y+3z+1=0 and 3x+2y+z+2=0

Find the angle of intersection of two curves y =2^x and y=5^x

Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent is parallel to the x - axis.

Find the equation of normal to the curve y = x^(3) + 5x^(2) + 2 at (1, -1).

Find the point on the curve y^2-x^2 + 2x-1 = 0 where the tangent is parallel to the x-axis.