Question
The points (0,7,10),(-1,6,6) and (-4,9,6) form
BITSAT
Mathematics
Straight Lines
2021
BITSAT 2021
BITSAT Mathematics Question (2021) — Solution
Options
- A. a right angled isosceles triangle
- B. a scalene triangle
- C. a right angled triangle
- D. an equilateral triangle
Answer
A. a right angled isosceles triangle
Step-by-step solution
Let P (0,7,10), Q (-1,6,6) and R (-4,9,6) be the vertices of a triangle Here, PQ = 1+1+16 =3 2 array l QR = 9+9+0 =3 2 \\ PR = 16+4+16 =6 \\ Now, PQ ^ 2 + QR ^ 2 =(3 2 )^ 2 +(3 2 )^ 2 =36=( PR )^ 2 array Therefore, PQR is a right angled triangle at Q . Also, OQ = QR . Hence, PQR is a right angled isosceles triangle.
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