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

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

 Solve the following quadratic equation for x: $9{{x}^{2}}-6{{b}^{2}}x-({{a}^{4}}-{{b}^{4}})=0$

 All red face cards are removed from a pack of playing cards. The remaining cards were well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is: (i) a red card (ii) a face card (iii) a card of clubs

• question_answer3) Find the area of the triangle PQR with $Q(3,2)$ and the mid-points of the sides through Q being $(2,-1)$ and $(1,2)$.

• question_answer4) If ${{S}_{n}}$ denotes the sum of first n terms of an A.P., prove that ${{S}_{30}}=3[{{S}_{20}}-{{S}_{10}}]$

• question_answer5) A 21 m deep well with diameter 6 m is dug and the earth from digging is evenly spread to form a platform$27\text{ }m\times 11\text{ }m$. Find the height of the platform. $\left[ \text{Use}\,\,\pi \text{=}\frac{22}{7} \right]$

 A bag contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is: (i) divisible by 3 or 5 (ii) a perfect square number.

• question_answer7) Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 cm and taking B as centre, draw another circle of radius 2 cm. Construct tangents to each circle from the centre of the other circle.

 Solve for x: $\frac{3}{x+1}+\frac{4}{x-1}=\frac{29}{4x-1};x\ne 1,-1,\frac{1}{4}$