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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. if a, b,c are in A.P. then b =

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  14. If the number of subsets of a given set is 32, then the number of elem...

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  15. The distance of (3, 4) from origin is

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  16. The sum of the roots of 6x^2 = 1 is

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  17. If the polynomial p(x) = x^4 - 2x^3 + x^2 - 1 is divided by (x + 1), t...

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  18. If the sum of a number and its reciprocal is 17/4, then that number is...

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  19. If log10 2 = 0.3010, then log10 32 is

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  20. The point (-2, -2) is in the ............. quadrant.

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