question_answer1)
Solve the following quadratic equation for x: |
\[9{{x}^{2}}-6{{b}^{2}}x-({{a}^{4}}-{{b}^{4}})=0\] |
question_answer2)
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 \[(1,2)\].
View Answer play_arrowquestion_answer4) If \[{{S}_{n}}\] denotes the sum of first n terms of an A.P., prove that \[{{S}_{30}}=3[{{S}_{20}}-{{S}_{10}}]\]
View Answer play_arrowquestion_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. \[\left[ \text{Use}\,\,\pi \text{=}\frac{22}{7} \right]\]
View Answer play_arrowquestion_answer6)
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.
View Answer play_arrowquestion_answer8)
Solve for x: |
\[\frac{3}{x+1}+\frac{4}{x-1}=\frac{29}{4x-1};x\ne 1,-1,\frac{1}{4}\] |
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