NCERT Solutions for Class 10 Maths Chapter 11 Constructions Exercise 11.1

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NCERT Solutions for Class 10 Maths Chapter 11 Constructions Exercise 11.1 Solutions are based on Division of a Line Segment and Solved examples based on the concept. 

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CBSE X Related Questions

  • 1.
    Verify that roots of the quadratic equation \((p - q)x^2 + (q - r)x + (r - p) = 0\) are equal when \(q + r = 2p\).


      • 2.
        The natural number 2 is :

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

        • 3.
          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.

          • 4.
            The line segment joining the points \(P(-4, -2)\) and \(Q(10, 4)\) is divided by y-axis in the ratio

              • \(2:5\)
              • \(1:2\)
              • \(2:1\)
              • \(5:2\)

            • 5.

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

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

              • 6.
                Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).

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