R is one of the monomers for the formation of a polymer called
Ziegler-Natta Catalyst is used in the manufacture of
If x = log (y +√y2 + 1 ) then y =
If the angle between the asymptotes of a hyperbola is 30° then its eccentricity is
Consider the following statements about the oxides of halogens A. At room temperature, OF2; is thermally stable B. Order of stability of oxides of halogens is I > Br > Cl C. I2O5 is used in the estimation of CO D. ClO2; is used as a bleaching agent The correct statements are
A bag contains four balls. Two balls are drawn randomly and found them to be white. The probability that all the balls in the bag are white is
A student is asked to answer 10 out of 13 questions in an examination such that he must answer at least four questions from the first five questions. Then the total number of possible choices available to him is
If
then an integer root of 3x2-4x+2= \(\frac{3k}{5}\) is
If R -(α,β) is the range of \(\frac{x+3}{(x-1)(x+2)}\) then the sum of the intercepts of the line ax + βy + 1 = 0 on the coordinate axes is:
If the points of intersection of the parabola y2 = 5x and x2 = 5y lie on the line L, then the area of the triangle formed by the directrix of one parabola, latus rectum of another parabola and the line L is
Let X= {[a b c d] / a,b,c,d ∈ R}. If f:X → R is defined by f(A) = det (A) ⦡ A ∈ X, then f is:
If the roots of the equation z2 - i = 0 are α and β, then | Arg β - Arg α | =
In a triangle BC, if the mid points of sides AB, BC, CA are (3,0,0), (0,4,0),(0,0,5) respectively, then AB2 + BC2 + CA2 =
If (2,-1,3) is the foot of the perpendicular drawn from the origin to a plane, then the equation of that plane is
The variance of 50 observations is 7. Suppose that each observation in this data is multiplied by 6 and then 5 is subtracted from it. Then the variance of that new data is
The quadratic equation whose roots are
\(l = \lim_{\theta\to0} \frac{3sin\theta - 4sin^3\theta}{\theta}\)
m = \(\lim_{\theta\to0} \frac{2tan\theta}{\theta(1-tan^2\theta)}\) is
If y = \(\frac{3}{4} + \frac{3.5}{4.8}+\frac{5.5.7}{4.8.12}+ \).... to ∞, then
If x+√3y = 3 is the tangent to the ellipse 2x2 + 3y2 = k at a point P then the equation of the normal to this ellipse at P is
If A(1,2,3) B(3,7,-2) and D(-1,0,-1) are points in a plane, then the vector equation of the line passing through the centroids of △ABD and △ACD is
Match the following : List -I (Atomic number) List II (Group number and period number)
List -I (Atomic number)
List II (Group number and period number)
If a point P moves so that the distance from (0,2) to P is \(\frac{1}{√2 }\) times the distance of P from (-1,0), then the locus of the point P is
A player can throw a ball to a maximum horizontal distance of 80 m. If he throws the ball vertically with the same velocity, then the maximum height reached by the ball is:
A wire of resistance 2R is stretched such that its length is doubled. Then the increase in its resistance is:
If x2 + 2px - 2p + 8 > 0 for all real values of x, then the set of all possible values of p is
A current of 15.0 amperes is passed through a solution of CrCl2, for 45 minutes. The volume of Cl2 , (in I) obtained at the anode at 1 atm and 273 K is around (IF=96500 Cmol-1, At. wt. of Cl=35.5, R=0.082 L-atmK-1 mol-1)