If AD, BE and CF are the altitudes of ∆ABC whose vertex A is the point $$(-4$$, $$5)$$. Also, the coordinates of the points E and F are (4$$,$$1) and $$(-1$$, $$-4)$$ respectively. Then, equation of BC is

Question

If AD, BE and CF are the altitudes of ∆ABC whose vertex A is the point $$(-4$$, $$5)$$. Also, the coordinates of the points E and F are (4$$,$$1) and $$(-1$$, $$-4)$$ respectively. Then, equation of BC is

Infinity Learn · Accepted Answer

Slope of $$AB=5$$−$$($$−$$4)$$−$$4+1=$$−$$3$$∴  Equation of AB≡$$3x+y+7=0--------(i)$$ Slope of $$CF=13$$∴  Equation of CF:x−$$3y$$−$$11=0----(ii)$$ Slope of $$AC=5$$−$$1$$−$$4$$−$$4=$$−$$12$$∴  Equation of AC:$$x+2y$$−$$6=0----(iii)Slope$$ of BE $$-$$ $$2$$ ∴  Equation of BE:$$2x$$−y−$$7=0---(iv)$$ Solving (i) and (iv), we get B≡(0$$,−$$7) Solving (ii) and (iii), we get C≡(8$$,−$$1) Slope of $$BC=$$−$$7+10$$−$$8=34$$∴  Equation of BC:$$3x$$−$$4y$$−$$28=0$$

If AD, BE and CF are the altitudes of $∆$ ABC whose vertex A is the point (-4, 5). Also, the coordinates of the points E and F are (4,1)
and (-1, -4) respectively. Then, equation of BC is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If AD, BE and CF are the altitudes of ∆ABC whose vertex A is the point (-4, 5). Also, the coordinates of the points E and F are (4,1) and (-1, -4) respectively. Then, equation of BC is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If AD, BE and CF are the altitudes of $∆$ ABC whose vertex A is the point (-4, 5). Also, the coordinates of the points E and F are (4,1)
and (-1, -4) respectively. Then, equation of BC is