NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.2

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NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions Exercise 1.2 is mainly based on types of relations. 

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Check Class 12 NCERT Maths Chapter 1 Relations and Functions Exercises: 

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CBSE Class 12 Mathematics Study Guide:

CBSE CLASS XII Related Questions

  • 1.

    Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

      • \( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
      • \( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
      • \( \frac{2\sqrt{\cos x}}{\sin x} \)
      • \( \frac{1}{\sin x\sqrt{\cos x}} \)

    • 2.

      Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).


        • 3.

          Find the value of \(x\) if \(A = B\), where

          \[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]


            • 4.

              Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).


                • 5.

                  If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that

                  \[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]


                    • 6.

                      If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

                        • \(0.35\)
                        • \(0.85\)
                        • \(0.5\)
                        • \(0.21\)
                      CBSE CLASS XII Previous Year Papers

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