xy is 5 unit from the origin 1 Answer x y is 5 unit from the origin How many such points lie in the third quadrant a 0 b 1 c 2 d infinitely many
If a point is 5 units away from the origin 0 0 we can use the distance formula sqrt x 2 y 2 d where d is the distance from the origin In this situation d Show all steps Answer Conclude the number of such points in the third quadrant Since there are infinitely many points on the circumference of a circle and the
xy is 5 unit from the origin
xy is 5 unit from the origin
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1 Answer Steve M Apr 25 2017 4 Explanation The loci of point 5 units from the origin is a circle of radius 5 centred on the origin red The loci of points 3 units from the x axis is two parallel lines y 2 blue Visually The distance formula is given by text distance sqrt x 0 2 y 0 2 In this case the distance is 5 units so we have 5 sqrt x 2 y 2
The distance of a point A x y from the origin O 0 0 is given by OA x 0 2 y 0 2 i e OP x2 y2 Consider some of the following examples 1 Find the distance P is x units away from y axis and y units away from the x axis By Pythagoras theorem OP2 x 2 y2 begin array l OP end array begin array l sqrt x 2 y 2 end array Therefore distance
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We know that the point is 5 units away from the origin so we can use the distance formula Distance sqrt x 2 x 1 2 y 2 y 1 2 Step 3 7 3 In this case the 1 The distance of point P x y from the origin is 5 units 2 This means that the distance formula between point P and the origin 0 0 is x 2 y 2 5 3 Squaring both
If a point is 5 units to the right of the origin what is its coordinate A 5 0 B 0 5 C 5 0 D 0 5 Solution The correct option is A 5 0 To the right of origin the x In the third quadrant both the x and y coordinates are negative If a point x y is at a distance of 5 units from the origin it means x 2 y 2 5 Since both x and y are
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xy is 5 unit from the origin - Given a point x y at a distance of 5 units from the origin we can use the distance formula to find the relationship between x and y sqrt x 2 y 2 5 Squaring