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MATH / A tangent from the point (2⋅1994,2⋅1994) to the circle x²+y²=1994² touches circle at the point (a,b). Compute a+b.

Problem

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problem

A tangent from the point (2⋅1994,2⋅1994)(2 \cdot 1994, 2 \cdot 1994) to the circle x2+y2=19942x^2 + y^2 = 1994^2 touches circle at the point (a,b).(a,b). Compute a+b.a + b.
Plain-text mathematical notation (without MathML)
A tangent from the point (2⋅1994,2⋅1994) to the circle x²+y²=1994² touches circle at the point (a,b).  Compute a+b.
Original LaTeX notation
A tangent from the point $(2 \cdot 1994, 2 \cdot 1994)$ to the circle $x^2 + y^2 = 1994^2$ touches circle at the point $(a,b).$  Compute $a + b.$

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
a8d4272e-f9d8-5c32-beb5-0c10c59afeee
task_key
intermediate~5falgebra--test--a8d4272e-f9d8-5c32-beb5-0c10c59afeee
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import