NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.3

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NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Exercise 12.3 Solutions are based on calculation of areas of some combinations of plane figures which are available in daily life (window designs, bedsheets designs, carpet designs, etc. through some examples.

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CBSE X Related Questions

  • 1.
    PQ and PR are two tangents to a circle with centre O and radius 5 cm. AB is another tangent to the circle at C which lies on OP. If OP = 13 cm, then find the length AB and PA.


      • 2.
        The natural number 1 is :

          • a prime number.
          • a composite number.
          • prime as well as composite.
          • neither prime nor composite.

        • 3.
          Prove that: $\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$


            • 4.
              A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.


                • 5.
                  Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
                  Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

                    • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
                    • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
                    • Assertion (A) is true, but Reason (R) is false.
                    • Assertion (A) is false, but Reason (R) is true.

                  • 6.
                    If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

                      • $x^2 + 5x - 4$
                      • $(x + 3) (-x + 8)$
                      • $a(x^2 + 5x - 24)$
                      • $x^2 - 24$

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