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                    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 : XI Subject : Maths 11th Maths Text Book Volume 1            Click Here Volume 2            Click Here Chapter 1 Exercise 1.1            Click Here Exercise 1.2            Click Here Exercise 1.3            Click Here Exercise 1.4            Click Here Thank You For  Refering On Our Page

Welcome To Class : XI Subject : Maths Chapter : 1 Exercise : 1.4 Que 1 : For the curve y = x³ given in Figure, draw (i) y = -x³ (ii) y = x³ + 1 (iii) y = x³–1 (iv) y = (x + 1)³, with the same scale. Solution : (i) y = -x³ y=-f(x) It is the reflection of the graph of f  About the x-axis (ii) y = x³ + 1 The graph of y = f(x) + 1 is shifted upward to 1 unit. (iii) y = x³ – 1 The graph of y  = x³ – 1 is shifted downward  to 1 unit (iv) y = (x + 1)³ The graph of y  = (x + 1)³ is shifted to  the left for 1 unit. Que 2 :                                     For the curve, y = (x^⅓) given in figure draw. (i) y = (-x^⅓) (ii) y=(x^⅓) +1 (iii) y= (x^⅓) -1 (iv) y=(x+1)^⅓ Solution : (i) y = (- x)^⅓ Then y = -x^⅓ is the reflection of the graph of y=x^⅓ about the x-axis. (ii) y=(x^⅓) +1   Then y= (x^⅓)+1 is the x graph of y = x^⅓ shifts to the upwards for one unit. (iii) y= (x^...

  Welcome To Class : XI Subject : Maths Chapter : 1 Exercise : 1.3 Que 1 : Suppose that 120 students are studying in 4 sections of eleventh standard in a school. Let A denote the set of students and B denote the set of the sections. Define a relation from A to B as “x related toy if the student x belongs to the section y”. Is this relation a function? What can you say about the inverse relation? Explain your answer. Solution :   A = {set of students in 11th standard} B = {set of sections in 11th standard} R : A ➝ B ⇒ x related to y ⇒ Every students in eleventh Standard must in one section of the eleventh standard. ⇒ It is a function. Inverse relation cannot be a function since every section of eleventh standard cannot be related to one student in eleventh standard. Que 2 : Write the values of f at – 4, 1, -2, 7, 0 if Solution : f(-4) = -(-4) + 4         = 4+4         = 8 f(1) = 1 – 1²         = 0 f(-2) = (-2)² ...

  Welcome To Class        : XI Subject   : Maths Chapter  : 1 Exercise : 1.2 Que 1 : Discuss the following relations for reflexivity, symmetricity and transitivity: (i) The relation R defined on the set of all positive integers by “mRn if m divides n”. (ii) Let P denote the set of all straight lines in a plane. The relation R defined by “lRm if l is perpendicular to m”. (iii) Let A be the set consisting of all the members of a family. The relation R defined by “aRb if a is not a sister of b”. (iv) Let A be the set consisting of all the female members of a family. The relation R defined by “aRb if a is not a sister of b”. (v) On the set of natural numbers the relation R defined by “xRy if x + 2y = 1”. (i) Solution : S = {set of all positive integers} (a) mRm ⇒ ‘m’ divides’m’ ⇒ reflexive (b) mRn ⇒ m divides n but nRm ⇒ n does not divide m (i.e.,) mRn ≠ nRm It is not symmetric  (c) mRn ⇒ nRr as n divides r It is transitive. (ii) Solution ...