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If x^2 + y^2 = 10xy, prove that 2 log (x...

If `x^2 + y^2 = 10xy`, prove that `2 log (x + y) = log x + log y + 2 log 2 + log 3`.

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VGS PUBLICATION-BRILLIANT-SUMMATIVE ASSESSMENT-SUMMATIVE ASSESSMENT
  1. For what value of 'm' in the following, mx + 4y = 10 and 9x + 12y = 30...

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  2. Which term of the G.P. : sqrt2, 2, 2sqrt2, 4, ....... is 32 ?

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  3. If x^2 + y^2 = 10xy, prove that 2 log (x + y) = log x + log y + 2 log ...

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  4. Shashanka said that (x + 1)^2 = 2(x - 3) is a quadratic equation. Do y...

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  5. Use Euclid's division lemma to show that the square of any positive in...

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  6. Show that sqrt5-sqrt3 is an irrational number.

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  7. Draw a graph for the polynomial p(x) = x^(2) + 3x -4 and find its zero...

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  8. Draw the graph of x + y = 11 and x - y = 5. Find the solution of the p...

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  9. A train travels 360 km at a uniform speed. If the speed had been 5 km/...

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  10. Find the sum of all the integers between 1 to 50 which are not divisib...

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  11. Find the area of a rhombus ABCD, whose vertices taken in order, are A ...

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  12. If A = {x : x is a prime less than 20} and B = {x : x is a whole numbe...

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  13. Ramu says, "If log10 x = 0, value of x = 0". Do you agree with him ? G...

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  14. Determine 'x' so that 2 is the slope of the line passing through A (-2...

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  15. -3, 0 and 2 are the zeroes of the polynomial p(x) = x^3 + (a - 1)x^2 +...

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  16. Find the discriminant of the quadratic equation 3x^2 - 5x + 2 = 0 and ...

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  17. Find the 11^th term of the A.P. : 15, 12, 9, .....

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  18. If A = {1, 2, 3}, B = {3, 4, 5}, then find A- B and B - A.

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  19. Write any two linear polynomials having one term and three terms.

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  20. If A = {x : x is a factor of 12} and B = {x : x is a factor of 6}, the...

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