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Byju's Answer

Standard IX

Mathematics

Cartesian Plane & Coordinate Axes

OA and OB are...

Question

OA and OB are two perpendicular rays. There will be exactly one point which is 2 cm away from OB and 3 cm away from OA.

True

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False

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Solution

The correct option is A
True

There will be infinite points which will be 2 cm away from OB, but it is also said that the given point is 3 cm from OA. So, there can be only one point which is 2 cm away from OB and 3 cm away from OA. So, the given statement is true.

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Similar questions

OA and OB are two perpendicular rays. There will be exactly one point which is 2 cm away from OB and 3 cm away from OA.

Q. OD bisects

∠ A O B

. DA and DB are perpendiculars from D on the ray OA and OB. Show that DA

≅

DB.

Q. Two fixed points

A

and

B

are taken on the axes such that

O A = a

and

O B = b

; two variable points

A^{^{'}}

and

B^{^{'}}

are taken on the same axes; find the locus of the intersection of

A B^{^{'}}

and

A^{^{'}} B

(1) when

O A^{^{'}} + O B^{^{'}} = O A + O B

,
and (2) when

\frac{1}{O A^{^{'}}} - \frac{1}{O B^{^{'}}} = \frac{1}{O A} - \frac{1}{O B}

Let be three rays such that lies between. Suppose the bisectors of ∠AOC and ∠COB are perpendicular to each other. Prove that B, O, A are collinear.

Let be a ray and let and be two rays on the same side of , with between and . Let be the bisector of ∠AOB. Prove that ∠XOA + ∠XOB = 2∠XOC.

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​ OA and OB are two perpendicular rays. There will be exactly one point which is 2 cm away from OB and 3 cm away from OA.

The correct option is A True There will be infinite points which will be 2 cm away from OB, but it is also said that the given point is 3 cm from OA. So, there can be only one point which is 2 cm away from OB and 3 cm away from OA. So, the given statement is true.

OA and OB are two perpendicular rays. There will be exactly one point which is 2 cm away from OB and 3 cm away from OA.

The correct option is A
True

There will be infinite points which will be 2 cm away from OB, but it is also said that the given point is 3 cm from OA. So, there can be only one point which is 2 cm away from OB and 3 cm away from OA. So, the given statement is true.