13.
and
?????
1.>If f(x)= x sin(Î /x) ,x>0
0, x=0, then in (0,1) f'(x) vanishses exactly at how many points?
2>Find the point on 9y2=3x2 ,where the normal to it makes equal intercepts with axes.
ans:(4,3/8)
3.>The points on the curves 2y2-x2=a2 a nd y2+x2=2a2 cut orthogonally are:??
4>f'(x)=11+x2 and f(0)=0,then find the range of f(2)
5.>If more air is pushed into a soap bubble then what happens to the pressure inside it??
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13 Answers
12. is question right or is the answer wrong ????
since ( 4, 38 ) ≡( x, y)
does not satisfy equation
9 y2 =3x2
or is ans
( 4, 83 )
plz chk
4. ( -π2 , π2 ) ???
39What's so difficult in 4th? Integrate to find f(x) = tan-1(x) + c, and as f(0) = 0, c = 0.
So f(x) = tan-1(x).
f(2) = tan-12 will always be in (-pi/2, pi/2) like SR said.
1NO guys none of your answers are right for
Q3> answer givn is wrong definitely,plz post the right ans ..
Q4> PLEASE FORGET THIS QUESTION. THE QUESTION MAKES NO SENSE .I JUST BLINDLY PUT UP THE WRONG QUESTION
39Avinav...lately you have been defying logic, I don't know what's gotten into you but anyway..lol.
1Some1 plz answer to Q5..givn above
Q6>IN Δ ABC eqn of side BC is x-y=0..circumcentre and orthocentre are (2,3) and (5,8) respectively.Find the eqn of circumcircle
Q7>The centre of a set of circles each of radius 3,lie on the circle x2+y2=25.The locus of ane point on set is
a)4<= x2+y2<=64
b)x2+y2<=25
c)x2+y2>=25
d)3<=x2+y2<=9
62For the 5th question.. lets see one thing which is fairly obvious..
The Radius will increase... (will it?)
We have to talk about pressure.
The pressure inside is related to the pressure outside by surface tension.. how?
I hope this hint gives you the answer.
62Q6>IN Δ ABC eqn of side BC is x-y=0..circumcentre and orthocentre are (2,3) and (5,8) respectively.Find the eqn of circumcircle
Lets take the points B and C to be (a,a) and (b,b)
The equation of the circle will be (x-a)(x-b)+(y-a)(y-b)=0
x2+y2-(a+b)(x+y)+2ab=0
Now the family of circles passing through B and C will be given by x2+y2-(a+b)(x+y)+2ab+k(x-y)=0
x2+y2-(a+b-k)x-y(a+b+k)+2ab=0
Now can you try to finish the remaining part?
62Q 7) The set of points will lie at a minimum distance 2 from origin and maximum distance 8. Hence option a)
135) Going by Nishant bhaiya's suggestion..
The relation i get is- 2TR2 + Pout = Pin
Assuming the outside pressure a const, as Radius increases, Pin wud decrease.
1Q5> answer givn is pressure decreases
@nishant bhaiya thanks for other qs
@avik thanks for reviving this thread
1Q8>The product of the lenghts of the perpendiculars drawn from thr focii on any ne tangent to the hyperbola x2a2-y2b2=1 is:????