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                    Welcome To Class : XII Subject : Maths IMPORTANT QUESTIONS Chapter 02                                 Chapter 07 Click Here                                        Click Here   Chapter 03                                  Chapter 08 Click Here                                        Click Here   Chapter 04                                  Chapter 09 Click Here                               ...

                    Welcome To Class : XII Subject : Maths One Marks Book Back One Marks Click Here

                    Welcome To Class : XII Subject : Maths MODEL QUESTION PAPER Model Question Paper  1 Click Here Model Question Paper  2 Click Here Model Question Paper  3 Click Here Model Question Paper  4 Click Here Model Question Paper  5 Click Here

                     Welcome To Class : XII Subject : Maths Important Questions & Formula Some Important   Question (With Answers) AND Important Formula (Unit wise)   Click Here  

                       Welcome To Class : XII Subject : Maths Chapter : 10 Chapter : Ordinary Differential Equations IMPORTANT QUESTIONS        2 & 3 Marks Questions 1. Determine the order and degree (of exists) of the following differential equations:  i) dy+(xy–cosx)dx = 0 ii) x = e^[xy ( dx / dy)] 2. Show that each of the following expressions is a solutions if the corresponding given differential equation  y =2x², xy¹ = 2y. 3. Find the value of m so that the function y = emx is a solution of the given differential equation i) y¹+2y = 0 ii) y¹¹– 5y¹ + 6y = 0 4. Show that x²+y²=r², where r is a constant , is a solution of the differential equation (dy/dx) = (-x/y). 5. Show that y= ax+b/x , x≠ 0 is a solution of the differential equation x²y¹¹ + xy¹ – y =0. 6. Solve (1 + x²)dy/dx = 1 + y². 7. Solve the following differential equation ydx+(1+x²)tan-¹ xdy = 0. 5 Mark Questions 1. Solve ( x²...

                       Welcome To Class : XII Subject : Maths Chapter : 9 Chapter : Applications Of Integration IMPORTANT QUESTIONS        2 & 3 Marks Questions 1.Evaluate  0 ʃ ³(3x²-4x+5) dx 2.  0 ʃ ¹ [2x] dx where [.] is the greatest integer function. 3.Find the area of the region bounded by the ellipse (x²/a²)+(y²/b²)= 1 4.Find the area of the region bounded between the parabola y² = 4ax and its latus rectum.  5. Find the area of the region bounded by x-axis, the curve y= |cos x| , the lines x=0 and x=π. 5 Mark Questions 1. Find te area of the region bounded by y = cosx, y = sin x , the lines x = π/4 and x = 5π/4 2.Find the area of the region bounded between the parabola x²= y and the curve y = x   3. Find the area of the region in the first quardrant bounded by the parabola y²= 4ax, the line x+y =3 and y- axis. 4. Find the integration, the area of the region bounded by the lines...

                       Welcome To Class : XII Subject : Maths Chapter : 8 Chapter : Differentials And Partial Derivatives IMPORTANT QUESTIONS        2 & 3 Marks Questions 1. 1.Let f,g=(a,b)→R be differentiable functions. Show that d(fg)=fdg+gdf 2. Let g(x)=x² +sin x calculate the differential dg. 3. If the radius of a sphere with radius 10cm, has to decrease by 0.1 cm approximately how much will its volume decrease. 4. Find the differential dy for each of the following function i) y= (1-2x)³/(3-4x) ii) y=(3+sin(2x)⅔) iii) y=e^(x2-5x+7) cos (x²-1) 5. Find df for f(x) =x²+3x and evaluate if for i) x=r and dx=0.1 ii) x=3 and dx=0.02 6. Assuming log 10 e=0.44343 find approximate value of log 10 1003. 7. Find ∆f and df for function f for the indicated values of x, ∆x and compare i) f(x) = x³+ 2x²; x=R ∆r=dx=0.5 ii)f(x)= x²+2x+3; x= -0.5, ∆x=dx=0.1 8. Let f(x)= √x Find the linear approximation of x=27 Us...

                       Welcome To Class : XII Subject : Maths Chapter : 7 Chapter : Applications Of Differential Calculus IMPORTANT QUESTIONS        2 & 3 Marks Questions 1. The temperature T in Celsius in a long rod of length 10m , insulated art both ends , is a function of length x given by T = x ( 10 – x) . Prove that the rate of change of temperature at the mid point of the rod is zero. 2). A person learnt 100 words for an English test. The number of words the person remembers in t in days after learning is given by w( i ) = 100 X (1-0.1 t)², 0 ≤ t ≤ 10 what is the rate at which the person forgets the words 2 days after learning? 3). A particle moves so that the distance moved is according to the law s(t) = (t³/3)-t²+3. At what time the velocity and acceleration are zero respectively? 4). A camera is accidently knocked off an edge of a cliff 400 ft high. The camera falls a distance of s = 16t²  ...

                       Welcome To Class : XII Subject : Maths Chapter : 5 Chapter : Two Dimentional Analytical Geometry - II IMPORTANT QUESTIONS        2 & 3 Marks Questions 1. Find the general equation of a circle with centre (-3,4) and radius 3 units . 2. A circle of radius 3 units touches both the axes. Find the equations of all possible circles formed in the general form. 3. Find the equations of the tangent and normal to the circle x²+y² = 25 at p(-3,4). 4. If y= 4x+c is a tangent to the circle x²+y²= 9, find c. 5. Obtain the equation of the circles with radius 5 cm and touching x-axis at the origin in general form. 6.If y= 2√2 x + c is a tangent to the circle x²+y²=16, Find the value of c. 7. Find the center and radius of the following: i)x²+(y+2)² = 0 ii) x²+y²+6x-4y+4 = 0 iii) x²+y²-x+2y-3 = 0 iv) 2x²+2y²-6x+4y+2 = 0 8. Find the equation of the parabola with focus (-√2,0) and directrix x=√2 . 9...

                       Welcome To Class : XII Subject : Maths Chapter : 4 Chapter : Inverse Trigonometric Functions IMPORTANT QUESTIONS        2 & 3 Marks Questions 1. Find the principal value of i) sin-¹(2)  ii) tan-¹(√3 ) iii) tan-¹(-√3 ) iv) tan (tan-¹(2019)) v) tan ( tan-¹(1947)) vi) tan (tan-¹(-0.2021)) vii) cosec-¹(-1) viii) sec-¹ (-2) ix)cot-¹ (√3 ) x) cosec-¹(-√2) 2. Find the values of x such that i)-10 π ≤ x ≤ 10π and sin x =0 ii) -3π ≤ x ≤ 3π and sinx = -1 iii) -6π ≤ x ≤ 6π and cos x =0 iv) -5π ≤ x ≤ 5π and cos x = 1 3. For what value of x does sin x = sin-¹x? 4. State the reason for cos-¹[cos (-π/6)]≠ (-π/6) 5. Is cos-¹(-x) = π – cos-¹(x) true? Justify your answer. 5 Mark Questions 1. Find the values of  i) 2 cos-¹(1/2) + sin-¹(1/2) ii) cos-¹(1 /2)+ sin-¹(-1) iii) tan-1(√3) - sec-1(-2) 2. Find the values of i) cos-¹[(cos π/7).(cos π/17) - (sin π/7).(sin π/17)] ii) sin-¹[(sin ...

                       Welcome To Class : XII Subject : Maths Chapter : 3 Chapter : Theory Of Equations IMPORTANT QUESTIONS        2 & 3 Marks Questions 1. Construct a cubic equation with roots. i) 1,2 and 3 ii) 1,1 and -2 iii) 2, 1/2 and 1 2. Find a poly . equation with integer co efficient with √( √2/ √3) as a root  3. If x²+2(k + 2) x + 9k =0 has equal roots, find K. 4. Find a poly equation of minimum degree with rational coefficients having i) 2 + √3 i ii) 2i + 3 as a root. 5. Solve the equation i) x⁴–9x²+20 =0 ii) x⁴– 14x²+45 =0. 6. Solve the equation 7x³– 43x²= 43x-7. 7. Discuss the nature of the roots of the following polynomial. i) x²⁰¹⁸+1947x¹⁹⁵⁰+ 15x⁸+26x⁶+2019 ii)x⁵–19x⁴+2x³+5x²+11 8. If p and q are the roots of the equation lx²+nx+n=0. Show that  √(p/q) + √(q/p) + √(n/l) =0 9. If p and q are the roots of the equation lx2+p1x+q1=0 have a common root , show that it must be equa...

                      Welcome To Class : XII Subject : Maths Chapter : 2 Chapter : Complex Numbers IMPORTANT QUESTIONS        2 & 3 Marks Questions 1. Simplify: i) i¹⁷²⁹ ii) i-¹⁹²⁴ +i²⁰¹⁸       102 iii) Σ       i^n       n=1 iv) i i² ……i⁴⁰ v) i¹⁹⁴⁷+ i²⁰⁰⁰        12 vi) Σ i^n       n=1         10 vii) Σ i^n+⁵⁰        n=1 viii) i¹⁹⁴⁸ – i¹⁸⁶⁹ ix) i⁵⁹+(1/ i⁵⁹) x) i i² i³…… i²⁰⁰⁰ 2. Evaluate the following if Z= 5-2i and W= -1+3i i) z+w ii) z-iw iii) 2z+3w iv) zw v) z²+2zw+w² vi)(z+w)² 3. If Z1 = 1 -3i, Z2 = -4i and Z3 =5 , show that i)  (z1+z2)+z3 = z1+(z2+z3) ii) (z1z2) z3 = z1(z2z3) 4. Find z-¹, if z = (2+3i) (1-i) 5.Write the following in the rectangular form i) (5+9i )+ (2-4i) ii) (10-5i)/(6+2i) iii) 3i +(1/2-i) 6. Prove the following properties:         ...