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Assertion Reasoning Type Statement 1: The roots of the equation given by | x3 x 1 | | a3 a 1 | = 0 | b3 b 1 | are a and b only Statement 2: The substition of x=a and x=b gives two same rows which means that the de ...
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The length of the intercept of common tangent in 1st quadrant to the circle x2+y2=16 and the ellipse x2/25+y2/4=1, between the coordinate axes is ...
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Domain of the definition of the function f(x)= sin-1(2x)+Ï€/6 for real valued x is ...
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slope of the tangent of the parabola y2-4x=0 which is normal to the circle x2+y2-2x+4y+1=0 ...
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The equation x2/(1-r) - y2/(1+r)=1 (r<-1) represents ...
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The number of the roots of the equation sin2θ=cos3θ-1 in the interval [0,2π] is ...
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The vertices of a triangle are A(-1,-7), B(5,1) and C(1,4). The equation of the bisector of the angle ABC is ...
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. limx→0 xtan2x-2xtanx (1-cos4x)2 ...
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. |1 x x | f(x)= |2x x(x-1) x(x+1) | |3x(x-1) x(x-1)(x-2) x(x+1)(x-1)| then f(5)= ...
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Straight Objective type If in the expansion of (1+x)m(1-x)n, then coefficients of x and x2 are 3 and -6 respectively then n is ...
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Assertion Reasoning type STATEMENT-I: The entropy of the universe is continuously increasing. STATEMENT-II: All naturally occurring processes are accompanied by increases in entropy. ...
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The standard reduction potentials of of the elements A, B and C are 2.37 V, -1.85 V and -1.36 V respectively. The order of their reducing power is ...
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An electron is moving with a kinetic energy of 4.55×10-25 Joules. What will be the de Broglie wavelength for this electron? ...
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When copper is treated with a certain concentration of nitric acid, nitric oxide and nitrogen dioxide are liberated in equal volumes according to the equation, xCu+yHNO3→uCu(NO3)2+NO+NO2+vH2O then y is ...
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Which of the following has the highest nucleophilicity? ...
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Nitrobenzene can be prepared from benzene by using a mixture of conc. HNO3 and conc. H2SO4. In the nitrating mixture, nitric acid acts as a ...
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25 ml of 2N HCl. 50 ml of 4N HNO3 and x ml of 5M H2SO4 are mixed together and total volume is made up to 1 L with water. 50 ml of this acid mixture exactly neutralizes 25 ml of 1N Na2CO3 solution, then the value of x is ...
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*Image* H+ >F Br2, CCl4 >C4H8Br2 (five products possible How many structures of F is possible? ...
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NH3(g)+3Cl2(g)→NCl3(g)+3HCl(g) ΔH1=-55 kJ N2(g)+3H2(g)→2NH3(g)+24 kJ H2(g)+Cl2(g)→2HCl(g) ΔH3=36 kJ The heat of formation of NCl3(g) is ...
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Straight Objective type Gaseous benzene reacts with hydrogen gas in presence of nickel catalyst to form gaseous cyclohexane according to the reaction: C6H6(g)+3H2(g)→C6H12(g) A mixture of C6H6 and excess H2, has a pressure ...
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Now suppose m2 is kept at the centre O and angular velocity of table is reduced to 4 rad/s . Tension in the string is ...
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What should be the minimum angular speed of the turn table so that the masses will slip from this position? ...
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comprehension for ques 45-47 Two blocks of mass m1=10 kg and m2=5 kg connected to each other by a massless inextensible string of length 0.3 m, are placed along a diameter of turn table. The coefficient of friction be ...
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Match the following (81) Mn2+ (a) Diamagnetic (82) Cu+ (b) Paramagnetic (83) Ni2+ (c) Coloured compounds (84) Cr3+ (d) Magnetic Moment=2.82 BM ...
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What will be the molarity of solution with respect to OH-?(assume no loss in volume) ...
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How long will it take to produce 1 kg of Cl2? ...
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comprehension for ques 78-80 An aqueous solution of NaCl on electrolysis gives, H2(g), Cl2(g) and NaOH according to the reaction: 2Cl-+2H2O→2OH-+H2(g)+Cl2(g). A direct current of 25 ampere with current efficient of 62% is p ...
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What is the slope of the graph plotted in this experiment? (Assume the change in length to be 10 mm) The units of the graph are in SI units! ...
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What is the extension of the wire due to the additional mass? (Ans in mm) ...
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comprehension for ques 48-50 We conduct an experiment on determination of young's modulus by Searle's method. The micrometer attached has a pitch of 1 mm. It has 100 divisions on the circular scale. On addition of add ...