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l k satapathy jee math jee physics geometry 3d direct current lakshmikanta satapathy probability indefinite integrals cbse physics kinematics electrostatics 2d geometry trigonometric functions simple harmonic oscillations application of derivative resistance lines in space differential equation definite integrals the plane laws of motion wave motion questions and answers method of substitution integration by parts uniformly accelerated motion tan inverse ray optics integration by substitution binomial theorem equation of plane alternating current inverse trigonometric functions parabola magnetic field image of point limit of function accelaration permutation combination algebra capacitor sine inverse projectile motion functions reducible to standard form potential difference mutually exclusive events electric field spring block system resistances in series dimensions cos inverse direction ratios circle electric potential logarithmic functions capacitance integration exponential functions rigid body rotation particular solution line and plane tension in strings gravitation work energy power phase difference length of perpendicular rotational motion trigonometric equations angular momentum total probability bayes' theorm sequence and series probability distribution resistance cube integration formula multiplication theorem of probability independent events average velocity bernoulli trials electromagnetism axiomatic approach closed pipe limit of a sum thermodynamics thermodynamic process nuclear physics tangent and normal relative velocity modern physics properties of definite integrals cells in parallel amplitude magnification maximum value of function perpendicular lines ellipse resultant direction resultant magnitude cbse board question direction cosines of vector straight lines angle between lines pulley block set parallel lines homogeneous differential equation trigonometric ratios electric power binomial distribution of probability equilibrium of forces boundary conditions shm friction reflection refraction potentiometer first derivative increasing functions vector components decreasing functions doppler effect mean heating coils in series current density heating coils in parallel variance tangent to ellipse resitances in parallel heating effect inelastic collision retardation magnetism subset power set distance between parallel lines voltage minimum value of function relative distance dimensional consistancy photoelectric effect atomic physics orbital speed escape speed internal resistance units centripetal force real depth apparent depth rough inclined plane convex lens power energy open pipe rate measurer wave optics height and distance intgral calculus perpendicular vectors collinear vectors polynomial functions complementary events limits by substitution limits by rationalization parallel vectors mathematics exhaustive events capacitors roots of quadratic equation quadratic equation lorentz force occurrence of events moment of inertia binomial coefficients tossing of coins series lcr circuit sample space of random experiment rolling of two dice addition theorem of probability hydroststics complex number peak value of ac area of triangle conditional probability partial fractions slope of join of points hydrogen atom coulomb's law ammeter addition of vectors geometrical optics properties of matter trigonometry random experiment sum of inverse functions focal length intercept form normal form equilibrium moment of force beam in balance co-planar vectors difference of inverse functions negative value og trigonometric function positive value of trigonometric function plane mirror values of trigonometric functions coplanarity of lines integral powers of x distance of point from plane angle between planes vectors locus of a point values for known angles identities_compound angles identities_multiple angles distance between points coordinates of section point x intercept advanced question frequency of sound wave y intercept two point pitch of note length of normal greatest integer function sound illustrations mathematical induction reasoning range of inverse functions image of line oppositely connected cells properties of inverse functions domain of inverse functions genral term middle terms motion of blocks slope of graph position time graph physics velocity time graphs type of motion certain event equation of straight line compound event impossible event event simple event joint entrance examination mass defect beta decay of nucleus excitation energy algebra of events physics helpline axioms of probability intersection of events union of events colored marbles pack of cards central maximum diffraction spring oecillations restoring force concepts null point reverse probability properties of conditional probability anti-derivative random variable expectation integration by rationalization integral calculus face diagonal acceleration time graph null vector three point form rectangular coil one point normal form scalars interference of light position of momima components of vector unit vector `shortest distance between skew lines scalar product properties of scalar product illustration on scalar product resultant by scalar product earth's magnetic field lamis theorem magnetic dip orthogonal unit vectors vector product tossing of two coins magnetic needle sample points outcome of random experiment point of intersection ring sphere tabulation method pure rolling disc rolling of dice impulse force on bullet linear differential equation mcq one or more correct overtaking lcr circuit phase difference between current and voltage four digit numbers moment of inertia of cube members of a team conservation of energy rolling bodies resonance in ac circuit half power band width queue problem sum of given number of terms arithmetic progression capacitors in series capacitors in parallel fluid thrust fluid pressure torque plano-convex lens ionisation fixed object and image floatation breaking stress resistance of wire horizontal projectile deriving equation from dimension correctness of equation rms valueof ac modulus of complex number total energy in shm dielectric parametric form parameter cartesian form plancks constant function of two variables discharging current gravitational force resistors vertices of rhombus accelerating potential throwing of dice amplitude of shm relative distance in shm half amplitude number of words formed single circuit element inductance normal to plane maximum volume of tank coefficient of a given power of x superposition of waves reflection of waves stationary waves nodes and antinodes air columns end correction resonance tube beats advanced theory reflected waves transmitted waves intensity and loudness of sound conical pendulum angular speed frictional electricity applications of coulomb's law gauss theorem plane sheet of charge sperical surface direct current qa emf of cell drift velocity electric current carbon resistor charging of cell cells in series wheatstone bridge range of ammeter potential of mercury drops electric dipole lr circuit transient current black body radiation wiens law stefans law letters of a word heavier electron cube root of unity & probability formation of quadratic equation terminal velocity viscous fluid displacement vectors isochoric process adiabatic process isobaric process collision of nucleus fractional loss of energy change of variable indeterminate (0/0) form wave theory wave function condition for wave function speed of sound intensity of wave force on charged paricle magnetic force slide callipers. error in measurement terminal potential difference emf motion under gravity rolling motion closed interval electric bulb kirchhoff's rules current distribution resistances in parallel resistsnces in parallel pulley block natural numbers rational numbers real number integers point charge one dimensional motion loss of energy simultaneous equations square coil circular coil extreme value of function board paper questions eccentricity ohm resistivity ampere mobility relaxation time distance formula colour code slope of tangent chord of contact separation of variable differential calculus rectangular components temperature change loss of time pendulum clock gain of time properties of triangles speed rough horizontal plane work conservation of momentum speed of wave stretched string intervals motion of charged particle kinetic energy simple pendulum young's moduls circle and square upthrust motion of balloon arithmetic mean geometric mean shortest time shortest distance river and boat problem image total internal reflection right angled prism sum of coefficients volume charge density first law of thermodynamics ideal gas equation quasistatic process time of flight angle with horizontal sum of series highest point of path purely imaginary mean value of ac radioactivity half life galvanometer potential energy points of maximum sharing of charge even functions domain of functions difference of sets cardinality of set union of sets intersection of sets complement of set maximum temperature function organ pipes fundamental frequency planetary motion time period cartesian product equivalence class equivalence relation relation domain of relation range lens mirror system multiple angles motion in a plane force of friction harmonics in closed pipe work energy theorem