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For what values of p does the pair of eq...

For what values of p does the pair of equations `4x + p y +8 =0` and `2x +2y +2 =0` has unique solution?

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CBSE MODEL PAPER-MATHEMATICS BASIC-PART B
  1. For what values of p does the pair of equations 4x + p y +8 =0 and 2x ...

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  2. Find the coordinates of the point which divides the line segment joini...

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  3. Find a relation between x and y such that the point (x ,y) is equidist...

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  4. In the fig. if LM || CB and LN || CD, prove that (AM)/(AB) = (AN)/(AD...

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  5. A quadrilateral ABCD is drawn to circumscribe a circle. Prove that A ...

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  6. Draw a line segment of length 7.8 cm and divide it in the ratio 5:8. M...

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  7. Given 15 cot A =8, find sin A and sec A.

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  8. Find tan P – cot R

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  9. How many terms of the AP: 9, 17, 25, . . . must be taken to give a sum...

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  10. Prove that sqrt3 is an irrational number

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  11. Two tangents PA and PB are drawn to a circle with centre O from an ext...

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  12. Meena went to a bank to withdraw Rs.2,000. She asked the cashier to gi...

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  13. A box contains 90 discs which are numbered from 1 to 90. If one disc ...

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  14. One card is drawn from a well shuffled deck of 52 cards. Find the prob...

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  15. Metallic spheres of radii 6cm, 8cm and 10cm respectively are melted to...

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  16. Prove that (sinA -cos A+1)/(sin A + cos A - 1) = (1)/(sec A - tan A)

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  17. A motor boat whose speed in still water is 18 km/h, takes 1 hour more ...

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  18. Find two consecutive odd positive integers, sum of whose squares is 29...

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  19. The angles of depression of the top and bottom of a 8m tall building f...

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  20. A 1.2m tall girl spots a balloon moving with the wind in a horizontal ...

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  21. The pth, qth and rth terms of an A.P. are a, b and c respectively. Sho...

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