# Solved papers for 10th Class Mathematics Solved Paper - Mathematics-2015 Outside Delhi Term-II Set-II

### done Solved Paper - Mathematics-2015 Outside Delhi Term-II Set-II

• question_answer1) If $A(4,3),B(-1,y)$ and $C(3,4)$ are the vertices of a right triangle ABC, right-angled at A, then find the value of y.

• question_answer2) All the vertices of a rhombus lie on a circle. Find the area of the rhombus, if the area of the circle is$1256\text{ }c{{m}^{2}}$. [Use$\pi =3.14$]

• question_answer3) Solve for x: $2{{x}^{2}}+6\sqrt{3}x-60=0$

• question_answer4) The 16th term of an AP is five times its third term. If its 10th term is 41, then find the sum of its first fifteen terms.

• question_answer5) A bus travels at a certain average speed for a distance of 75 km and then travels a distance of 90 km at an average speed of 10 km/h more than the first speed. If it takes 3 hours to complete the total journey, find its first speed.

• question_answer6) Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

• question_answer7) Construct a right triangle ABC with $AB=6\text{ }cm,\,\,\,BC=8\text{ }cm$ and $\angle B=90{}^\circ$. Draw BD, the perpendicular from B on AC. Draw the circle through B, C and D and construct the tangents from A to this circle.

• question_answer8) Find the values of k so that the area of the triangle with vertices $(k+1,1,)\text{ (}4,-3)$and $(7,-k)$ is 6 sq. units.