Mathematics
The co-ordinates of point P are:
(0, 5)
(5, 0)
(4, 3)
(3, 4)
Distance Formula
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Answer
Since, OPQ is right angled triangle. Using pythagoras theorem,
⇒ Hypotenuse2 = Base2 + Height2
⇒ OP2 = OQ2 + QP2
⇒ 52 = 32 + QP2
⇒ 25 = 9 + QP2
⇒ QP2 = 25 - 9
⇒ QP2 = 16
⇒ QP =
⇒ QP = 4 units
Since, OQ = 3 units and QP = 4 units.
The co-ordinates of point P are (3, 4).
Hence, option 4 is the correct option.
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Related Questions
The distance of point (-8, 6) from x-axis is:
8
6
10
none of these
The distance of point (-4, -3) from the origin is:
-10 unit
10 unit
none of these
AB (= 10 unit) is diameter of a circle with center at point P = (x, 0) and point B = (0, y). The relation between x and y is:
x + y = 10
x + y = 25
x2 + y2 = 5
x2 + y2 = 25
Statement 1: For the point P, x = -4 and y = 3, the distance of P from origin is 3 + 4 = 7.
Statement 2: P = (-4, 3) and its distance from origin = .
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.