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ISEE Upper Level Quantitative : How to find a ray

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Example Questions

Example Question #1 : How To Find A Ray

Which is the greater quantity?

(a) The length of the line segment connecting (0,0) and (a,b)

(b) The length of the line segment connecting (a,0) and (0,b)

Possible Answers:

It is impossible to tell from the information given.

(a) is greater.

(a) and (b) are equal.

(b) is greater.

Correct answer:

(a) and (b) are equal.

Explanation:

(a) The length of the line segment connecting (0,0) and (a,b) is

$\sqrt{(a -0)^{2}+(b -0)^{2} } = \sqrt{a^{2}+b^{2} }$ .

(b) The length of the line segment connecting (a,0) and (0,b) is

$\sqrt{(a -0)^{2}+(0-b)^{2} } = \sqrt{a^{2}+\left ( - b \right ) ^{2} }= \sqrt{a^{2}+b^{2} }$ .

The segments have equal length.

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All ISEE Upper Level Quantitative Resources

8 Diagnostic Tests 234 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Upper Level Quantitative : How to find a ray

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

All ISEE Upper Level Quantitative Resources

Example Questions

Example Question #1 : How To Find A Ray

All ISEE Upper Level Quantitative Resources

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