

CBSE Class 12 Sample Paper for 2025 Boards
CBSE Class 12 Sample Paper for 2025 Boards
Last updated at Dec. 13, 2024 by Teachoo
Question 36 (iii) (B) Check whether V has a point of inflection at π₯=65/6 or not?Now, π(π±) = 2(2π₯^3β65π₯^2+500π₯) πβ²(π±) = 4(π₯β5)(3π₯β50) π^β²β² (π±) = 4 (6π₯β65) Now, for point of inflectionβ¦ it is not necessary for Vβ(x) to be zero But, Vββ(x) = 0 is important And, Sign of Vββ(x) on left and right of the point should change At π=ππ/π π½^β²β² (ππ/π) = 4 (6 Γ65/6β65) = 4 (65β65) = 0 Now, Checking Sign of Vββ(x) on left and right of π=ππ/π Since Vββ(65/6) = 0 And, Sign of Vββ(x) on left and right of π₯=65/6 changes Thus, x = ππ/π is a point of inflection