UP TGT Mathematics Calculus Differentiation Test Series - Part 3

If the tangent at any point on the curve y = xⁿ meets the x-axis at T, the ratio OT : OX₁ is:

Type: MCQ • Marks: 1
If the tangent at any point on the curve y = xⁿ meets the x-axis at T, the ratio OT : OX₁ is:
Options
A. n : 1
B. 1 : n
C. 1 : 1
D. n : n+1
Explanation
Subtangent property for power curves: y₁ / m = x₁ / n => ratio OT : OX₁ = 1 : n.
Want to attempt the full test series with a timer and instant score? Purchase the package to unlock the complete test. Purchase Now
UP TGT Mathematics

Practice more

This page is indexed for search so students can find questions directly from Google.

Purchase Full Access View full Test Series Browse Test Series
Login / Register
Chat on WhatsApp Go Back Top