Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleOrthocentre, pedal triangle basedMedium2 minQB

MathematicsMediuminteger

The altitudes of a triangle lie on $x + 5 y - 3 = 0, x + y - k = 0$ , and $3 x - y - 1 = 0$ . Find $k$ .

Answer:

Solution:

The first and third altitudes intersect at the orthocentre (1/2, 1/2), which must also satisfy the second. Thus $k = 1$ .

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Orthocentre, pedal triangle based

⏱ 2mℹ️ Source: QB

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