JEE Main 2015 · 10 Apr · Shift 1 · Mathematics Q78

MathematicsSingle correct+4 / -1Question 78 of 90

The points $\left(0,\dfrac83\right)$ , (1, 3) and (82, 30) :

form an obtuse angled triangle.

form an acute angled triangle.

form a right angled triangle.

lie on a straight line.

Answer and worked solution

Official answer: D

Slope from $(0,\frac83)$ to $(1,3)$ : $\frac13$ . From $(1,3)$ to $(82,30)$ : $\frac{27}{81}=\frac13$ . The points are collinear.

JEE Main 2015 · 10 Apr · Shift 1, Mathematics question 78