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Practice Online Test Series for JEE Main 2018 & NEET 2018
Two men P & Q starts with velocities v at the smae time form the junction of two roads inclined at 45º to each other. If they travel by different roads, the rate at which they are being separated, is-
Solution of the equation `(dy)/(dx)+y/x=x^2y^6 is`
Area of the region bounded by curve y =`e^x` and lines x = 0 and y = e is-
Let `int_0^x f(t)dt=x^3+2x+int_1^xt f(t)dt, then int_0^3f(x)dx` is equal to-
The foot of the perpendicular from point (2, –1, 5) on the line `(x-11)/10=(y+2)/-4=(z+4)/-11` is
A variable plane is at a distance 2 from origin O and meets co-ordinate axes at A, B and C. The centroid of tetrahedrom OABC lies on `1/x^2+1/y^2+1/z^2=k^2` then k=
If `|veca+vecb|<|veca-vecb|`then the angle between `veca` and `vecb`can lie in the interval -
Let `veca=2hati+hatj-2hatk and vecb=hati+hatj` if `vecc` is a vector such that `veca.vecc=|vecc|,|vecc-veca|=2sqrt2` and the angle between `veca xx vecc` and `vecc` is `30^o`, then `|(veca xx vecc)xx vecc|` is equal to
If ax + by = 1 is tangent to the hyperbola `x^2/a^2- y^2/b^2`=1 then `a^2 – b^2` equals to-
The length of latus rectum of the parabola whose focus is`(u^2/(2g)sin2alpha,-u^2/(2g)cos2alpha)`and directrix is `y=u^2/2g` is
