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

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

• question_answer1) Draw a line segment of length and divide it internally in the ratio $2:3$ .

• question_answer2) A metallic solid sphere of radius $10.5\text{ }cm$ is melted and recasted into smaller solid cones, each of radius $3.5\text{ }cm$ and height$3\text{ }cm$. How many cones will be made?

• question_answer3) From the top of a $7m$ high building, the angle of elevation of the top of a tower is $60{}^\circ$ and the angle of depression of its foot is $45{}^\circ$. Find the height of the tower.

• question_answer4) Draw a right triangle in which the sides (other than the hypotenuse) are of lengths $4\text{ }cm$ and $3\text{ }cm$. Now construct another triangle whose sides are $\frac{3}{5}$ times the corresponding sides of the given triangle.

• question_answer5) If the sum of first m terms of an A.P. is the same as the sum of its first n terms, show that the sum of its first $(m+n)$terms is zero.

• question_answer6) Two points A and B are on the same side of a tower and in the same straight line with its base. The angles of depression of these points from the top of the tower are $60{}^\circ$ and $45{}^\circ$ respectively. If the height of the tower is 15 m, then find the distance between these points.

• question_answer7) The height of a cone is $30\text{ }cm.$ From its topside a small cone is cut by a plane parallel to its base. If volume of smaller cone is $\frac{1}{27}$ of the given cone, then at what height it is cut from its base?