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Show that the sum of an A.P. whose first...

Show that the sum of an A.P. whose first term is a, the second term is b and the last term is c, is equal to `((a+c)(b+c−2a))/(2(b−a))

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AGRAWAL PUBLICATION-(2019) QUESTION PAPER-EXAMPLE
  1. Show that the sum of an A.P. whose first term is a, the second term is...

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  2. Check whether g(x) is a factor of P(x) by dividing polynomial p(x) by ...

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  3. Find the area of the triangle formed by joining the mid-points of the ...

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  4. Draw the graph of the equations x-y+ 1 = 0 and 3x + 2y - 12 = 0. Using...

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  5. Prove that sqrt 3 is an irrational number.

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  6. Find the greatest number which on dividing 1251, 9377 and 15628 leaves...

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  7. A,B and C are interior angles of a triangle ABC. Show that sin[(B+C)/2...

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  8. If angle A = 90^@, then find the value of tan [(B + C)/2]

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  9. If tan(A +B) = 1 and tan(A - B) = 1/ sqrt 3, 0^@ < A + B < 90^@, A>B, ...

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  10. In Figure, PQ is a chord of length 8 cm of a circle of radius 5 cm. Th...

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  11. Prove that opposite sides of a quadrilateral circumscribing a circel s...

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  12. Water in a canal, 6 m wide an 1.5 m deep, is flowing with a speed of 1...

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  13. A class teacher has the following absentee record of 40 students of a ...

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  14. A car has two wipers which do not overlap. Each wiper has a blade of l...

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  15. A pole has to be erected at a point on the boundary of a circular park...

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  16. If m times the m^(th) term of an Arithmetic Progession is equal to n t...

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  17. The sum of the first three numbers is an Arithmetic Progression is 18....

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  18. Construct a triangle ABC with side BC = 6 cm, AB = 5 cm and angle ABC ...

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  19. In Figure, a decorative block is shown which is made of two solids, a ...

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  20. In Figure, a decorative block is shown which is made of two solids, a ...

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  21. A bucket open at the top is in the form of a frustum of a cone with a ...

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