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WATCH THE SOLUTION OF ALL QUESTIONS OF MATHS SEPARATELY (SET A, JEE MAINS 2018):
Q61- https://youtu.be/-xK3hnSR2O8
Q62- https://youtu.be/BmkBDGVx6DQ
Q63- https://youtu.be/HAADvuz3PIw
Q64- https://youtu.be/EK...

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Two sets A and B are as under `A=|(a,b) in RxxR:|a-5| lt 1 and |b-5| lt 1} B=[(a,b) in Rxx R:4(a-6)^2+9(b-5)^2 le 36} Then:` (1) `B sub A` (2) `A sub B` (3) `AnnB =phi ( an empt...

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Let `f(x)=x^2+ 1/x^2` and `g(x)=x-1/x, x in R-{-1,0,1}`. If `h(x) = f(x)/g(x)` then the local minimum value of `h(x)` is: (1) 3 (2) `-3` (3) `-2sqrt(2)` (4) `2sqrt(2)`
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If the sum of all the solutions of the equation `8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1` in `[0,pi]` is `k pi` then k is equal to
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Let `a_1, a_2, a_3...a_n` be in AP such that `sum_(k=0)^12(a_(4k+1))=416` and `a_9+a_43=66` If `a_1^2+a_2^2+...+a_17^2=140m` then m is equal to (1) 66 (2) 68 (3) 34 (4) 33
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The value of `int_(-pi/2)^(pi/2) sin^2 x/(1+2^x) dx` is
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If `alpha, beta in C` are distinct roots of the equation `x^2-x+1=0` then `alpha^(101)+beta^(107)` is equal to
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If `|(x-4,2x,2x),(2x,x-4,2x),(2x,2x,x-4)|=(A+Bx)(x-A)^2` then the ordered pair (A,B) is equal to
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Let `g(x)=cosx^2,f(x)=sqrt(x)` and `alpha,beta(alpha ltbeta)` be the roots of the equation
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If the system of linear equations `x+ky+3z=0, 3x+ky-2z=0, 2x+4y-3z=0` has a non-zero solution `(x,y,z)` then `(xz)/(y^2)` is equal to
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Let `y=g(x)` be the solution of the differential equation `sinx ((dy)/(dx))+y cos x=4x, x in (0,pi)` If `y(pi/2)=0`, then `y(pi/6)` is equal to
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The sum of the co-efficients of all odd degree terms in the expansion of `(x+sqrt(x^3-1))^5+(x-(sqrt(x^3-1))^5, (x gt 1)`
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Let `S={t in R: f(x)=|x-pi|(e^(|x|)-1)sin|x|` is not differentiable at t} Then the set S is equal to: (1) `phi` (2) {0} (3) `{pi}` (4) `{0,pi}`
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If the curves `y^2=6x`, `9x^2+by^2=16` intersect each other at right angles then the value of b is: (1) 6 (2) `7/2` (3) `4` (4) `9/2`
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The straight line through a fixed point (2,3) intersects the coordinate axes at distinct point P and Q. If O is the origin and the rectangle OPRQ is completed then the locus of ...

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Tangent and normal are drawn at P(16,16) on the parabola `y^2=16x` which intersect the axis of the parabola at A and B respectively. If C is the centre of the circle through the...

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Tangents are drawn to the hyperbola `4x^2-y^2=36` at the points P and Q. If these tangents intersect at the point T(0,3) then the area (in sq units) of `triangle PTQ` is
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Let the orthocentre and centroid of a triangle be `A(-3,5) and B(3,3)` respectively. If C is the circumcentre of the triangle then the radius of the circle having line segment ...

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The length of the projection of the line segment joining the points `(5,-1,4)` and `(4,-1,3)` on the plane `x+y+z=7` is
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The integral `int (sin^2xcos^2x)/(sin^5x+cos^3xsin^2x+sin^3xcos^2x+cos^5x)^2 dx` is equal to
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A bag contains 4 red and 6 blach balls O balls is drawn at random from the bag, its colour is observed and this ball along with two addibonal balls of the same colour are return...

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PQR is a triangular park with PQ=PR=200m . A T.V tower stands at the mid-point of QR. If the angles of elevation of the top of the tower at P , Q and R respectively `45^@` , `30...

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The Boolean expression `~(pvvq)vv(~p^^q)` is equivalent to (1) `~p` (2) `p` (3) `q` (4) `~q`
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If `sum_(i=1)^9 (x_i-5)=9 and sum_(i=1)^9 (x_i-5)^2=45` then the standard deviation of the 9 items `x_1,x_2,.....,x_9` is
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To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW Area of the triangle having vertices `(1, 2, 3), (2, - 1, 1)` and `(1, 2, 4)` in square units is...

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For `x in R ,f(x)=|log2-sinx|`
and `g(x)=f(f(x))`
, then
`g`
is not differentiable at `x=0`
(8)
`g'(0)=cos(log2)`
(13)
`g'(0)=-cos(log2)`
(18)
(19)
`( 20...

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If `a in R`
and the
equation `-3(x-[x])^2+""2""(x-[x])""+a^2=""0`
(where [x] denotes the greatest integer x) has no integral solution, then all
possible values of a lie ...

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The term
independent of x in expansion of `((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2)))`
is
(1) 120
(2) 210
(3) 310 (4) 4
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If `|z-4/z|=2`
, then the maximum value of
`|Z|`
is equal to
(1) `sqrt(3)+""1`
(2) `sqrt(5)+""1`
(3) 2
(4) `2""+sqrt(2)`
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The equation to the line touching both the parabolas `y^2 =4x` and `x^2=-32y` is
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Hello guys...Only 10 days are left now from JEE mains 2018. I have tried to explain, how to prepare for JEE Mains in last days..specially Dos and Don'ts.
This is very crucial...

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An integer is chosen at random between 1 and 100. Find the probability that it is
(i) divisible by 8
(ii) not divisible by 8
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Find HCF and LCM of 404 and 96 and verify that `HCF xx LCM=` product of the two given numbers
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