cbse mathematics maths solved paper class xii 2008 -35
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IIT -JEE physics syllabus 2008
PHYSICS SYLLABUS
General: Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using Vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-v method, Speed of sound using resonance column, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.
Mechanics: Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform Circular motion; Relative velocity.
Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy.
Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions.
Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.
Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies.
Linear and angular simple harmonic motions.
Hooke’s law, Young’s modulus.
Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and its applications.
Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns;Resonance; Beats; Speed of sound in gases; Doppler effect (in sound).
Thermal physics: Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newton’s law of cooling; Ideal gas laws; Specific heats (Cv and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases); Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law; Wien’s displacement law, Stefan’s law.
Electricity and magnetism: Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.
Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor.
Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current.
Biot–Savart’s law and Ampere’s law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying wire in a uniform magnetic field.
Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions.
Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources.
Optics: Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification.
Wave nature of light: Huygen’s principle, interference limited to Young’s double-slit experiment.
Modern physics: Atomic nucleus; Alpha, beta and gamma radiations; Law of radioactive decay; Decay constant; Half-life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes.
Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley’s law; de Broglie wavelength of matter waves.
This lesson consists of providing you with a Self-Tutorial of the basic properties of numbers.
This lesson consists of providing you with a Self-Tutorial of the basic properties of numbers.
cbse maths x guess paper 2008
Guess Paper – 2008
Class - IX
Subject – Mathematics
Polynomials, Coordinate Geometry & Linear Equations in Two Variables
Maximum Marks: 25 Time allowed: 50 minutes
Q1 to Q5 carry 2 marks; Q6to Q10 carry 3 marks
1.
Find the value of k if ( x3 + 6x2 + 4x + k ) is exactly divisible by (x + 2)
2.
Find the value of k, if (x – 1) is a factor of (4x 3 + 3x 2 – 4x + k)
3.
Without actually calculating the cubes, evaluate ( 40 ) 3 + ( –25 ) 3 + ( –15 ) 3
4.
Find the value of ‘a’ and ‘b’ such that the following equations may have (3, -2) as a solution 5x + ay = 8; 7x+by = 4b
5.
Factorize: 2x 2 – y 2 + 8z 2 – 22 xy + 42 yz – 8 xz.
6.
Factorize: x3 + 13x2 + 32x + 20.
7.
Factorize: 8x 3 + y 3 + z 3 – 18xyz.
8.
Factorize: x3 – 5x2 – 5x – 6
9.
Locate the following points on the Cartesian plane
(i) (3,-4) (ii) (-1,0) (iii) (-2,-4)
10.
Draw the graph of the equation 2x + y = 6. From the graph, find the value of y when x = 2
If you still have some time left, give it a thought:
Excellence is not a singular act, but a habit. You are, what you repeatedly do.
free download cbse guess paper xii mathematics 2008
Guess Paper – 2008
Class – XII
Subject – Mathematics
Time = 3hrs Max Marks = 100
General Instructions
All questions are compulsory.
The question paper consists of 29 questions divided into three sections A, B and C. Section A comprises of 10 questions of one mark each, section B comprises of 12 questions of four marks each and Section C comprises of 7 questions of six marks each.
Section- A
W y y
x x
Solve tan1x+tan13 = tan18
If A,B,C are three non zero square matrices of same order, find the condition on A such that AB = AC B = C.
If B is a skew symmetric matrix, write whether the matrix (ABA/ ) is symmetric or skew symmetric.
Find if (2,3), (,1), and (0,4) are collinear using determinant.
Evaluate:
Evaluate:
If
then find the angle between
and
.
If
is - - -
Write the value of
.
Section-B
Consider f:R+[5, ) given by f(x) = 9x2 + 6x 5. Show that f is invertible with f 1(y) =
. (OR) Let * be a binary operation defined on NXN, by (a,b)*(c,d) = (ac, bd). Show that * is commutative and associative. Also find the identity element for * on NxN.
If cos1x+ cos1y+ cos1z=, Prove that x2+y2+z22xyz = 1.
Show that
Differentiate w.r.t.x y = (sinx)x+(cosx)tanx +
.
If
Find the maximum slope of the curve y = x3 + 3x2 + 9x 27. and what point is it
Evaluate
dx .
Prove by vector methods the projection formula for any triangle : a = b cosC + c cosB.
Find the vector and Cartesian equation of the plane passing through (1.3. 2) point and parallel to the lines
=
=
and
Solve (1+e2x)dy+(1+y2)exdx=0
Form the differential equation of the family of parabolas having focus on the positive x-axis.
From a well shuffled pack of 52 cards. 3 cards are drawn one-by-one without replacement. Find the probability distribution of number of queens.
Section-C
Solve the following equations x+y+z = 3 ; x2y+3z = 2 and 2xy+z = 2
A right circular cone of maximum volume is inscribed in a sphere of radius r. find its altitude. Also show that the maximum volume of the cone is 8/27 times the volume of the sphere.
Find the area bounded by the curve y = 2xx2 and the straight line y = x.
Find the image of the point (3,2,1) in the plane 3xy+4z = 2.
Evaluate
.
A dealer wishes to purchase a number of fans and sewing machines. He has only Rs.5760 to invest and has space for atmost 20 items. A fan costs him Rs.360 and a sewing machine Rs.240. His expectation is that he can sell a fan at a profit of Rs.22 and a sewing machine at a profit of Rs.18. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit? Translate this problem mathematically and solve it.
If a fair coin is tossed 10 times, find the probability of (i) exactly six heads, (ii) atleast six heads, (iii) at most six heads.
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