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Grade 12th passAnalytical Geometry

Consider the triangle OAB where O=(0,0),B=(3,4).If orthocentre of the triangle is H(1,4),the coordinate of A is?

Profile image of Nayan
6 Years agoGrade 12th pass
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1 Answer

Profile image of Saurabh Koranglekar
6 Years ago
Dear student

Product of slopes of perpendicular lines =-1

Let A be (x,y)
Slope AH *slope OB = -1

3x+4y= 19

Slope AB*slope OH = -1

x+4y= 19

Solving 2 eqn

x=0
y = 19/4

Regards

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