You visited us 1 times! Enjoying our articles? Unlock Full Access!

Reflection in the Origin

Ax1, y1 , Bx2...

Question

$A (x_{1}, y_{1}), B (x_{2}, y_{2})$ and $C (x_{3}, y_{3})$ are three non-collinear points in cartesian plane. Number of parallelograms that can be drawn with these three points as vertices is

one

No worries! We‘ve got your back. Try BYJU‘S free classes today!

two

No worries! We‘ve got your back. Try BYJU‘S free classes today!

three

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

four

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D three
ABCD, ABEC, ACBF are three possible parallelograms.

Suggest Corrections

Similar questions

A (x_{1}, y_{1})

B (x_{2}, y_{2})

C (x_{3}, y_{3})

x_{1} + x_{2} + x_{3} = y_{1} + y_{2} + y_{3} .

A (x, - x)

B (7, - 5)

C (- 5, 3)

x = 1

A (x_{1}, x_{2}), B (x_{2}, y_{2})

C (x_{3}, y_{3})

A (x_{1}, y_{1}), B (x_{2}, y_{2}), C (x_{3}, y_{3})

x_{1}, x_{2}, x_{3}, y_{1}, y_{2} and y_{3}

Find the centroid of the triangle with vertices A $(x_{1}, y_{1})$ , B $(x_{2}, y_{2})$ and C $(x_{3}, y_{3})$ .

A (x_{1}, y_{1}), B (x_{2}, y_{2}), C (x_{3}, y_{3})

A, B, C

\frac{1}{2} | Δ |

Δ = ∣ ∣ ∣ ∣ \begin{matrix} x_{1} & y_{1} & 1 x_{2} & y_{2} & 1 x_{3} & y_{3} & 1 \end{matrix} ∣ ∣ ∣ ∣

△ A B C

a = B C

△

Join BYJU'S Learning Program