24okkkkkkkk....but shift of origin is there,sky.......
So dont ignore it...........
wat is eq. of directrix , axis, length of latus rectum of 9x2 -24xy+16y2 -20x-16y-60=0 plz reply
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24 Answers
24yup its very much in sylllabus.................even if it is not mentioned in parabola section.............still rotation and translation of axes is there in syllabus........so dont get surprised on seeing a question like this........
9ne way that post wont be of relevance now as rahul edited q
24
1arey fiitjee ppl are experts gving out-of-syllabus questions...
even they din gv such a question .. [3]
62eureka... shifting fo coordinate is there but not the rotation...
Never has one such question come nor do i see such a possibilty
24see in the begiining.......analytical geometry starts.........1st para last word """SHIFT OF ORIGIN"""............it applies to full coordinate geometry........
3These parabola eqns are included in jee syllabus.
These forms can be seen in our school textbooks itself
24but we need a pair of perpendicular lines
3x-4y & 4x+3y+12...............i hope u got my point...............
24I think it should be -15y there..............Then it is solvable(becoz then only we get coordinate axes rotated by some angle)
giving the soln with -15y................
(3x-4y)2-5(4x+3y+12)=0
=> (3x-4y)2=5(4x+3y+12)
Divide both sides by 5
=> (3x-4y)2/5=5(4x+3y+12)/5
=> ((3x-4y)/√32+42)2 5=5[(4x+3y+12)/√32+42]
=>Y2=4AX
where Y=(3x-4y)/5 and X=(4x+3y+12)/5 and 4A=1
We know that directrix => X=-A
=> (4x+3y+12)/5 =-1/4
=> 4x+3y+53/4=0
I hope u can get focus now.......
1and yeah celestine...
if its a typo , then very fine :)
but if its not... then lemme correct...
h2<ab is for an ellipse...
1well... its not in jee syll...
but sankara has given the method...n i dun have a short cut ...
11i think this is not in the jee syllabus
i know only to find the centre
partially differentiate separately wrt x and y
and solve the equations
sry thats wht i knew
1u r wrong it is 'coz it is not standard form axis is not ll to axes
11Parabola? Looks more like a pair of straight lines or something like that. [7]
Cos in parabola (i'm not sure of it) there won't be any xy term