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The median of z1, -z2 and -z3 is ...
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z1(-z2)z3= ...
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comprehension for ques 18-20 One of the vertices(z1) of an equilateral triangle inscribed in the circle |z|=1 is at an angle 60° with the x-axis. Other vertices being z2 and z3 Find the area of the triangle having -z1, z ...
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The equation of plane ABEF is ...
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The equation of line BG is ...
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comprehension for ques 15-17 The three vectors OA=i+j-k, OB=i-2j-k and OC=i+k forms a parallelepiped as shown *Image* What is the volume of the parallelepiped? ...
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Statement 1: A vertical pole is erected at a point inside a polygon is such that the angle subtended at the each vertex of the polygon is the same. The length of each of the points from the base of the pole is equal Statement ...
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Statement 1: y= x tan a - gx2/(2u2 cos2a) gives the equation of a parabola whose focus is at a height u2 cos2a /2g from the ground Statement 2: The Latus rectum is given by 2k for a parabola y2=4kx ...
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Statement 1: Two planes are equidistant(non zero) from a fixed straight line. One of these planes is fixed. The other plane is varying. The locus of the intersection of these two planes gives another plane. Statement 2: The S ...
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Assertion Reasoning type STATEMENT-I: Both sinx and cosx are decreasing functions in the interval (π/2, π) STATEMENT-II: If a differentiable function decreases in the interval (a,b), then its derivative also decreases in (a ...
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For which of the following values of m, is the area of the region bounded by the curvey=x-x2 and the line y=mx equals 9/2 ? ...
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Find the centre of circle passing through (-4,3) and touching the lines x+y=2 and x-y=2 ...
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The points (1,3) and (5,1) are two opposite vertices of a rectangle. The other two vertices lie on the line y=2x+c. Which of the following is/are true? ...
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Multiple correct answer type z3+2iz2+iz-2=0, then |z| is ...
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if α+β=π/2 and β+γ=α, then tanα= ...
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If the tangent at point P on the circle x2+y2+6x+6y=1 passes through the intersection of the lines x+4y=5 and 3x+2y=5 i.e. A, then length PA is ...
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Let n be a positive integer. If the coefficients of 2nd,3rd and 4th terms in the expansion of (1+x)n are in AP, then the value of n is ...
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. π ∫[x(1+sinx)/(1+cos2x)]dx -π ...
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z1=10+6i and z2=4+6i. If z is any complex number such that the argument of (z-z1)/(z-z2) is π/2, then the maximum value of |z-7-9i| is ...
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STATEMENT-I: The boiling point of 0.1 M urea solution is less than that of 0.1 M KCl solution. STATEMENT-II: Elevation of boiling point is directly proportional to the number of species present in the solution. ...
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Assertion Reasoning Type STATEMENT-I: In an ionic solid(MX) with schottky defects, the number of positive and negative ions is the same. STATEMENT-II: Equal number of cation and anion vacancies are present. ...
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A(s)→2B(aq)+3C(aq) If the conc. of C at equilibrium is increased by a factor of 2 then, ...
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The reagents required to obtain 1-iodobutane from 1-butene is/are ...
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Which of the following diatomic molecules would be stabilized by the removal of an electron? ...
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Multiple correct answer type Which equation(s) might be used to illustrate the action of nitric acid as an oxidant? ...
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Identify Z in the following reaction sequence: CH3CH2CH2OH conc. H2SO4>X Br2 >Y (i)Alc. KOH (ii)NaNH2 >Z ...
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An alloy of copper, silver and gold is found to have copper constituting the ccp lattice. If silver atoms occupy the edge centres and gold is present at body centre, the alloy has the formula ...
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How much should the pressure be increased in order to decrease the volume of a gas by 5% at a constant temperature? ...
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Which of the following sets of quantum nos. represent an impossible arrangement? ...
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MnO2 reacts with HCl to form MnCl2, Cl2 and water What is the volume of Cl2 produced when 100 ml of 0.1 M HCl is taken? ...