Advertisements
Advertisements
प्रश्न
The area of the triangle formed by the points P (0, 1), Q (0, 5) and R (3, 4) is
पर्याय
16 sq. units
8 sq. units
4 sq. units
6 sq. units
Advertisements
उत्तर
Given that the points P (0, 1), Q (0, 5) and R (3, 4) is form a triangle.
We are asked to find the area of the triangle ΔPQR which is shown in the figure.

Given that
OP = 1
and OQ = 5
Hence
`PQ = OQ - OP`
= 5-1
= 4
and RS = 3
By using formula,
`"PQR "= 1/2 xx "PQ "xx "RS"`
` = 1/2 xx 4 xx 3`
` = 2 xx 3`
` =6 " sq . units" `
APPEARS IN
संबंधित प्रश्न
How will you describe the position of a table lamp on your study table to another person?
Prove that (4, 3), (6, 4) (5, 6) and (3, 5) are the angular points of a square.
Determine the ratio in which the point P (m, 6) divides the join of A(−4, 3) and B(2, 8). Also, find the value of m.
Find the ratio in which the pint (-3, k) divide the join of A(-5, -4) and B(-2, 3),Also, find the value of k.
Find the area of a quadrilateral ABCD whose vertices area A(3, -1), B(9, -5) C(14, 0) and D(9, 19).
If the point P(x, 3) is equidistant from the point A(7, −1) and B(6, 8), then find the value of x and find the distance AP.
If A (1, 2) B (4, 3) and C (6, 6) are the three vertices of a parallelogram ABCD, find the coordinates of fourth vertex D.
If the points P (x, y) is equidistant from A (5, 1) and B (−1, 5), then
The point at which the two coordinate axes meet is called the ______.
If the coordinates of the two points are P(–2, 3) and Q(–3, 5), then (abscissa of P) – (abscissa of Q) is ______.
