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d domain of f(x)=rtlogxto d base x^2-1 is

d length of d chord of d circle x^2+y^2+4x-7y+12=0 along d y-axis is ...........

d no.of points with integral co-ordinates dat r integral coordinates dat r interior to d circle x^2+y^2=16

P(rt2,rt2) is a point on d circle x^2+y^2=4 & Q is another point on d circle such dat arc PQ=1/4 (circumcircle) d coordinates of Q r

a spot light s rotates in a horizontal plane with a constant angular velocity of 0.1m/s . d spot light of light P moves along d wall at a distance of 3m d velocity of d spot P when

=45^0is...........

a solid body rotates with deceleration about a stationary axis with an angular decelaration mod a=k

^w

^{where k is a constant & w is d angularvelocity of d body if d initial angular velocity is wo den d mean angular velocity of d body averaged over d whole time of rotation is}

^{2 particles A &B r situated at a distance =2m particle A has a velocity v of 10m/s at an angle of 60^0& particles B has a velocity v at an angle of 30^0 d distance d btw A&B is a constant d angular velocity of B with respect to A is}

^{a uniform rod of mass M & length L rotates in a horizantal plane with angular velocity w about a vertical axis passing throw 1 of its ends d tension at d centre of d rod is}

fr d 8th que in applying identies u get
integralcot^4x+cot^2xdx
& on simplification u get d required value

fr d 10th problem cosx=1-tan^2x/1+tan^2x
& similarly fr sinx & den integrate u will get d answer
fr d 11th problem sin^2x=1-cos2x/2

& den simplyfy u will get d answer

rate me if satisfied

fr d 5th que here goes d solution

given

_{[ ]}

^{[ ]} cos^3 xsinx dx

den v know dat

let cosx =t den

-sinx dx =dt

substitute d value of cos x & on further simplification u will get d value of

given integral

hey wats d answer fr d next questions

ne 1 answer it plz

A hemispherical bowl of radius R=0.1m is rotating about its own axis (which is vertical ) with an angular velocity

A particle of mass 10^-2 kg on d frictionless inner surface of d bowl is also rotating with same

The particle is about a height h from d bottom of d bowl

D value of

in terms of R & h is {ans:Cos^-1[R-h/h] }

What is d minimum value of

needed for non-zero value of h ?

[ans 7

2 rad/s]

what is d relation btw h & omega

na d ans is [u^2Cos^2(teta)] /[gCos^3(teta/2)]

a man whirls a stone round his head on d end of a string 4m long.

if d stone has a mass of 0.4kg & d string will break if d tension in it exceeds 8N , den d smallest angle d string can make with d horizantal is [ans 30^0]

^{d speed of d stone is [ 7.7m/s]}

what is d radius of curvature of d parabola traced out by d projectile at a point where d particle velocity makes an angle

/2 with d horizantal

hey wats d ans is it 0 yaar tell me if im rite den tell m e i wud giv d soln 4 it

a pin of length 2cm lies along d principal axis of a converging lens,d center being at a distance of 11cm from d lens d focal length of d lens is 6cm find d size of d image

A diverging lens of focal length 20cm &a converging mirror of focal length 10cm r placed coaxially at a separation of 5cm where shud an object b placed so dat a real image is formed at d object itself

A converging lens of focal length15cm & a converging mirror of focal length 10cm r placed 50cm apart with common principal axis A point source is placed in between d lens & d mirror at a distance of 40cm from d lens find d locations of d 2 images formed

A converging lens of focal length 15cm & a converging mirror of focal length 10cm r placed 50cm apart if a pin of length 2cm is placed 30cm from d lens farther away from d mirror where will d final image form & what will b d size of d final image

Aspherical surface of radius 30cm separates 2 transperent media A & B with refractive indices 1.33 & 1.48 resply d medium is on d convex surface where should a point object b placed in a medium A so dat d peraxial rays bcome parallel after refraction at d surface ?

1end of a cylindrical glass rod

=1.5 of radius 1cm is rounded in d shape of a hemi sphere d rod is immeresed in water

=4/3 & an object is placed in water along d axis of rod at a distance of 8cm 4m d rounded edge locate d image of d object

A convex has a focal length of 10cm find d location & nature of d image if point object is placed on d principal axis at a distance of

a) 9.8 cm

b) 10.2 cm 4m d lens

com on yar ne 1 plzzzzzzzzzzzzzz