Question

A – P – B. Co-ordinates of A is -5 and Co-ordinate of B is 13. Point P divides seg AB in the ratio  2 : 3. Find coordinate of point P. ​

Answer 1

Answer:

$tanA=2−1</p><p></p><p></p><p>tanA=ABBC=12−1</p><p></p><p></p><p> AC2=BA2+BC2=12+(2−1)2=1+2−22+1</p><p></p><p></p><p> AC=4−22</p><p></p><p></p><p> sinA=ACBC=4−222−1cosA=ACAB=4−221</p><p></p><p></p><p> sinA×cosA=4−222−1×4−221=4−222−1</p><p></p><p></p><p> =22(2−1)2−1=221×22=42</p><p></p><p></p><p> cosA×cosAsinA×cosA=42</p><p></p><p></p><p>Multiply numerator & denominator by cosA</p><p></p><p> </p><p></p><p> sec2AtanA=42⇒1+tan2AtanA=42</p><p></p><p></p><p>$

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