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

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

• question_answer1) Which term of the A.P. 8, 14, 20, 26, ... will be 72 more than its 41st term ?

• question_answer2) From a solid right circular cylinder of height 2.4 cm and radius 0.7 cm, a right circular cone of same height and same radius is cut out. Find the total surface area of the remaining solid.

• question_answer3) If the ${{10}^{th}}$ term of an A.P. is 52 and the ${{17}^{th}}$ term is 20 more than the ${{13}^{th}}$ term, find the A.P.

• question_answer4) If the roots of the equation $\left( {{c}^{2}}-ab \right){{x}^{2}}-2\left( {{a}^{2}}-bc \right)x+{{b}^{2}}-ac=0$ in $x$ are equal, then show that either a$=0$ or${{a}^{3}}+{{b}^{3}}+{{c}^{3}}=3abc$.

• question_answer5) Solve for x: $\frac{1}{2x-3}+\frac{1}{x-5}=1\frac{1}{9},x\ne \frac{3}{2},5$

• question_answer6) A train covers a distance of 300 km at a uniform speed. If the speed of the train is increased by 5 km/ hour, it takes 2 hours less in the journey. Find the original speed of the train.

• question_answer7) A man observes a car from the top of a tower, which is moving towards the tower with a uniform speed. If the angle of depression of the car changes from $30{}^\circ$ to $45{}^\circ$ in 12 minutes, find the time taken by the car now to reach the tower.

 In the given figure, $\Delta \,ABC$ is a right-angled triangle in which $\angle A$ is $90{}^\circ$. Semicircles are drawn on AB, AC and BC as diameters. Find the area of the shaded region.

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