NCERT Solutions for Class 10 Maths Chapter 12 Exercise 12.1

CBSE X Related Questions

  • 1.
    The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has

      • unique solution
      • two solutions
      • no solution
      • infinite number of solutions

    • 2.
      Prove that: \[ \frac{\cos \theta - 2 \cos^3 \theta}{\sin \theta - 2 \sin^3 \theta} + \cot \theta = 0 \]


        • 3.

          In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD.


            • 4.

              On the day of her examination, Riya sharpened her pencil from both ends as shown below.

              The diameter of the cylindrical and conical part of the pencil is 4.2 mm. If the height of each conical part is 2.8 mm and the length of the entire pencil is 105.6 mm, find the total surface area of the pencil.


                • 5.
                  A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

                    • $60^\circ$
                       

                    • $45^\circ$
                    • $30^\circ$
                    • $90^\circ$

                  • 6.
                    OAB is sector of a circle with centre O and radius 7 cm. If length of arc \( \widehat{AB} = \frac{22}{3} \) cm, then \( \angle AOB \) is equal to

                      • \( \left(\frac{120}{7}\right)^\circ \)
                      • \( 45^\circ \)
                      • \( 60^\circ \)
                      • \( 30^\circ \)

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