# Solved papers for 10th Class Mathematics Solved Paper - Mathematics 2017 Outside Delhi Set-III

### done Solved Paper - Mathematics 2017 Outside Delhi Set-III

• question_answer1) For what value of n, are the nth terms of two A.Ps 63, 65, 67,.... and 3, 10, 17,.... equal ?

• question_answer2) A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius on its circular face. The total height of the toy is 15.5 cm. Find the total surface area of the toy.

• question_answer3) How many terms of an A.P. 9, 17, 25, .., must be taken to give a sum of 636?

• question_answer4) If the roots of the equation $\left( {{a}^{2}}+{{b}^{2}} \right){{x}^{2}}-2(ac+bd)x+\left( {{c}^{2}}+{{d}^{2}} \right)=0$ are equal, prove that $\frac{a}{c}=\frac{c}{d}$.

• question_answer5) Solve for x: $\frac{x-1}{2x+1}+\frac{2x+1}{x-1}=2$, where $x\ne -\frac{1}{2},1$

• question_answer6) A takes 6 days less than B to do a work. If both A and B working together can do it in 4 days, how many days will B take to finish it?

• question_answer7) From the top of a tower, 100 m high, a man observes two cars on the opposite sides of the tower and in same straight line with its base, with angles of depression $30{}^\circ$ and $45{}^\circ$. Find the distance between the cars. [Take $\sqrt{3}=1.732$]

 In the given figure, O is the centre of the circle with $AC=24\text{ }cm,\,\,AB=7\text{ }cm$ and $\angle BOD=90{}^\circ$. Find the area of the shaded region. You will be redirected in 3 sec 