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if arg(Z)<0, then arg(-Z)-arg(Z)= ...
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The centre of the circle inscribed in the square formed by two pair of lines x2-8x+12=0 and y2-14y+45=0 ...
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[x] ∫ 2x/2[x]dx (x>1) 0 ...
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The value of f(x)=√(x2+x) +tan2α/√(x2+x), x>0 α lies in (0,π/2) ...
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The number of the arrangements of the letters of the word BANANA in which the two N's do not appear adjacently is ...
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The value of k for which line (x-4)/1=(y-2)/1=(z-k)/2 lies on the plane 2x-4y+z=7 ...
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what is the probability of getting two consecutive heads in 5 tosses of an unbiased coin? ...
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What is the value of tan1° tan2° tan3°.........tan 89° ...
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SO2 can act as ...
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Consider a parabola y2=4x. on the basis of above answer the ques that follows. 1.The centre of the circle passing through the point(0,3) and touching the given parabola at the extremity of its latus rectum in 1st quadrant ...
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Which of the following is(are) aromatic? ...
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STATEMENT-I: Benzene is more reactive than chlorobenzene towards elctrophilic aromatic substitution reactions STATEMENT-II: -Cl is o- p- directing group ...
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An organic compound having a carbon attached to four different groups is optically active. The carbon atom is called chiral carbon. Two compounds which are non-superimposable mirror images of each other are called enantiomers ...
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(+)-Mandelic acid has a specific rotation of +158°. What would be the observed specific rotation of mixture of 25% (-)-Mandelic acid and 75% (+)-Mandelic acid? ...
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The number of possible enantiomeric pairs that can be produced during monochlorination of 2-methylbutane is ...
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To prepare this CH3CHCH2 match the compound with reagents 69)CH3CH(Br)CH2Br (a) alc. KOH 70)CH3CH(OH)CH2 (b)Na/liq. NH3 71)CH3CHBrCH3 (c)conc. H2SO4 (Δ) 72)CH3CCH (d)Zn ...
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The correct statement about the compounds A,B, C *Image* *Image* *Image* A B C ...
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How many optically active stereoisomers are possible for butane-2,3-diol? ...
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Two vertices of a triangle are (4,-3) & (-2,5). If the orthocentre of the triangle is at (1,2), the coordinates of the third vertex is ...
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*Image* Figure shows a ball with charge q is fixed at a point A. Two identical balls of mass m and charge +q and -q are attached to the end of a light rod of length 2a fixed at a point 2a right of A. The system is released fr ...
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A line 4x+y=1 through the point A(2,-7) meets the line BC whose equation is 3x-4y+1=0. Then the equation of line such that AB=AC is ...
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If the normal at the point P(θ) to the ellipse x2/14+y2/5=1 intersects it again at the point Q(2θ), then cosθ= ...
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A variable circle passes through the point A(a,b) & touches the x-axis, then the locus of the other end of the diameter through A is a ...
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The number of common tangents to the circle x2+y2=4 & x2+y2-6x-8y=24 is ...
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If 2y=3x+4 and y=mx+2 are two tangents to the parabola y2+4ax+4a=0, then m= ...
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The minimum distance between the hyperbola x2/24-y2/18=1 and the line 3x+2y+1=0 is ...
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If line x=y/3-1 touches the parabola y2=4ax, then the length of the latus rectum is ...