The points ( 0,8 3 ), ,(1,3) and (82,30) - Vidyadip

MCQ

The points $\left( {0,\frac{8}{3}} \right),\,(1,3)$ and $(82,30)$

A
form an acute angled triangle.
B
form a right angled triangle.
✓
lie on a straight line.
D
form an obtuse angled triangle.

✓

Answer

Correct option: C.

lie on a straight line.

c
$A\left( {0,\frac{8}{3}} \right)B\left( {1,3} \right)C\left( {89,30} \right)$

Slope of $AB = \frac{1}{3}$

Slope of $BC = \frac{1}{3}$

so, lies on same line

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from 9. straight line→9. straight line — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A sequence is called ___________________ if $a_{n+1}=a_n \times r$.

The length of the chord joining the points in which the straight line $\frac{x}{3} + \frac{y}{4} = 1$ cuts the circle ${x^2} + {y^2} = \frac{{169}}{{25}}$ is

$\frac{{\sec 8A - 1}}{{\sec 4A - 1}} = $

The maximum value of $\sin \left( {x + \frac{\pi }{6}} \right) + \cos \left( {x + \frac{\pi }{6}} \right)$ in the interval $\left( {0,\frac{\pi }{2}} \right)$ is attained at

The number of real tangents that can be drawn to the ellipse $3x^2 + 5y^2 = 32$ passing through $(3, 5)$ is

In the $xy$ plane, the segment with end points $(3, 8)$ and $(-5, 2)$ is the diameter of the circle. The point $(k, 10)$ lies on the circle for

If $z_1, z_2 $ are any two complex numbers, then $|{z_1} + \sqrt {z_1^2 - z_2^2} |$ $ + |{z_1} - \sqrt {z_1^2 - z_2^2} |$ is equal to

The remainder when $3^{2022}$ is divided by $5$ is

Two vertices of a triangle are $(4, -3)$ and $(-2, 5)$. If the orthocentre of the triangle is at $(1, 2)$, then the third vertex is

If$\ ^\text{n+1}\text{C}_3 = 2\ ^\text{ⁿ}\text{C}_2,$ then the value of n is: