Question

From the given graph (in red colour) match the mentioned points (column I)
with their slope (column II)
Column I Column II
(p) X = 2 (i) 2
(q) X = 6 (ii) 6
(r) X = 10 (iii) 10
(iv) 0
(v) $\frac{1}{2}$
(vi) $\frac{-1}{2}$

• A. p - (v) ; q - (iv) ; r - (vi)
• B. p - (i) ; q - (ii); r - (iii)
• C. p - (v) ; q - (iv); r - (vi)
• D. p - (v) ; q - (ii); r - (ii)

Answer 1

The correct option is A

p - (v) ; q - (iv) ; r - (vi)

$Thetangenttothecurveatx=2isAC.Itsslopeistan\theta =\frac{AB}{BC}=\frac{5}{10}Thus,\frac{dy}{dx}=\frac{1}{2}atx=2.Thetangenttothecurveatx=6isparalleltotheX-axis.Thus,\frac{dy}{dx}=tan\theta =0atx=6.Thetangenttothecurveatx=10isDF.Itsslopeistan\theta =\frac{DE}{EF}=\frac{5}{-10}.Thus,\frac{dy}{dx}=\frac{-1}{2}atx=10.$