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

  • question_answer1)

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

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  • 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

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  • 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 \[(1,2)\].

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

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  • 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. \[\left[ \text{Use}\,\,\pi \text{=}\frac{22}{7} \right]\]

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  • question_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.

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  • 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.

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  • question_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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Solved Paper - Mathematics-2015 Delhi Term-II Set-III
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