NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.3

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Jasmine Grover

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CBSE X Related Questions

  • 1.
    The natural number 2 is :

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

    • 2.

      Which of the following sequence is \(\textit{not }\)an A.P. ?
       

        • \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
        • \( -1.2, -3.2, -5.2, -7.2, \dots \)
        • \( \sqrt{2}, \sqrt{8}, \sqrt{18}, \dots \)
        • \( 1^2, 3^2, 5^2, 7^2, \dots \)

      • 3.
        In the given figure, \( \triangle AHK \sim \triangle ABC \). If \( AK = 10 \text{ cm} \), \( BC = 3.5 \text{ cm} \) and \( HK = 7 \text{ cm} \), find the length of \( AC \).


          • 4.
            Verify that roots of the quadratic equation \((p - q)x^2 + (q - r)x + (r - p) = 0\) are equal when \(q + r = 2p\).


              • 5.
                Aarush bought 2 pencils and 3 chocolates for Rs 11 and Tanish bought 1 pencil and 2 chocolates for Rs 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically.


                  • 6.
                    In the given figure, \(TP\) and \(TQ\) are tangents to a circle with centre \(M\), touching another circle with centre \(N\) at \(A\) and \(B\) respectively. It is given that \(MQ = 13 \text{ cm}\), \(NB = 8 \text{ cm}\), \(BQ = 35 \text{ cm}\) and \(TP = 80 \text{ cm}\).
                    (i) Name the quadrilateral MQBN. (1)
                    (ii) Is MN parallel to PA? Justify your answer. (1)
                    (iii) Find length TB. (1)
                    (iv) Find length MN. (2)

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