DBT IN ellipse questn frm Part test 5

Q4 If the normal at the point P(θ) to the ellipse x2/14+y2/5=1 intersects it again at the point Q(2θ), then cosθ=

SUM1 PLZ FIND THE ERROR IN MY METHOD PLZZZZ......

@ IS ASSUMED AS θ

the 1st Eqn. is that of normal at point @.
If that wen produced meets the ellipse at 2@ we can apply eqn of chord joining two points @ & 2@ given by eqn 2.

but the Eqn. of chord is same as Eqn. of normal thus comparing Eqn 1 & 2
we get result 3......

then the value of cos@ that we get is sumwer around .47

PLZZZ HELP SPOT THE NOT IF NE!!!!!!!!!!1

5 Answers

21
tapanmast Vora ·

PLZZZ HELP....

21
tapanmast Vora ·

SUM1 ANSWER YAAAAAAARRRR

13
MAK ·

hey tapanmast...

ur equations are all correct but d value of cosθ (i.e., =0.47) is wrong...

solve it once again... i juzz cross-checked ur answer and i got it to be wrong... try it out once again...

v'll get d final equation as .......... sinθ + sin2θ = 5/9... solve it from here...

21
tapanmast Vora ·

OOOHHHHHHHHHH!!!!!!!!

YEAH MAK U R RITE!!!!!
I HAD TAKEN
2SINCOS = COS + COS :((((((

U R RITE IT HAS 2 BE SIN + SIN....
SO UR EQN IS CORRECT.......

THE ANSWER FOLLOWS FRM THER ON!!!!

1
Harry Potter ·

SINθ + 2SINθCOSθ = 5/9
SINθ(1+ COSθ)=5/9

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