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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 ...

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 ...

. π ∫[x(1+sinx)/(1+cos2x)]dx -π ...

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 ...

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. ...

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. ...

A(s)→2B(aq)+3C(aq) If the conc. of C at equilibrium is increased by a factor of 2 then, ...

The reagents required to obtain 1-iodobutane from 1-butene is/are ...

Which of the following diatomic molecules would be stabilized by the removal of an electron? ...

Multiple correct answer type Which equation(s) might be used to illustrate the action of nitric acid as an oxidant? ...

Identify Z in the following reaction sequence: CH3CH2CH2OH conc. H2SO4>X Br2 >Y (i)Alc. KOH (ii)NaNH2 >Z ...

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 ...

How much should the pressure be increased in order to decrease the volume of a gas by 5% at a constant temperature? ...

Which of the following sets of quantum nos. represent an impossible arrangement? ...

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? ...

Straight Objective Type N2+O2→N2O5 Weight of N2O5 formed from 5.6 gm of N2 and 14.4 gram of oxygen (in gm) ...

The force per unit length on the wire B is ...

The magnitude of magnetic field of induction at the point S is ...

comprehension for ques 44-46 Two long straight parallel wires are 2 m apart, perpendicular to the plane of the paper. The wire A carries a current of 9.6 A, directed into the plane of the paper. The wire B carries a current s ...

The heat absorbed in the process CA is ...

The heat absorbed in the process BC is ...

Straight Objective Type Three projectiles are fired from the same point with different speeds and different angles.The area of the triangle formed by the particles at any time t is proportional to ...

A pulley is attached to one arm of a balance and a string is passed around it carries two masses m1 and m2. The pulley is provided with a clamp due to which m1 and m2 do not move. On removing the clamp, m1 and m2 start moving ...

Two rods of different materials of coefficients of thermal expansion α, 2α respectively; Young's modulus Y and 2Y respectively; of equal initial length l of equal cross-sectional areas are joined together and the free e ...

Three rods made of same material and having the same cross-section have been joined as shown in the figure. Each rod is of same length. The left and right ends are kept at 0°C and 90°C respectively. The temperature of the j ...

Two fixed, equal, positive charges, each of magnitude 5×10-5 C are located at point A and B separated by a distance 6 m. An equal and opposite charge moves towards them along the line COD, the perpendicular bisector of the l ...

A quarter cylinder of radius R and refractive index 1.5 is placed on a table. A point object P is kept at a distance of mR from it. Find the value of m for which a ray from P will emerge parallel to the table as shown in the ...

Multiple Correct Answer Type When forces F1, F2 and F3 are acting on a particle of mass m such that F2 and F3 are opposite to each other, then the particle remains stationery. If the force F2 is not applied, then the accelera ...

Two moles of a diatomic gas(γ=7/5) at temperature T0 and 3 moles of CO2(γ=4/3) at temperature 2T0 are allowed to mix together in a closed adiabatic vessel. The resulting mixture finally comes in thermal equilibrium. ...

According to Bohr's theory for a hydrogen-like atom of atomic number z, the ...