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Evaluate :lim(xrarry)(cos^2x-cos^2y)/(x^...

Evaluate :`lim_(xrarry)(cos^2x-cos^2y)/(x^2-y^2)`

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UNITED BOOK HOUSE-MCQ-EXERCISE
  1. Show that the four straight lines xcosalpha+ysinalpha=P,xsinalpha-ycos...

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  2. Applying section formulae show that the points A(4. 7,-6), B (2, 5, -4...

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  3. Evaluate :lim(xrarry)(cos^2x-cos^2y)/(x^2-y^2)

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  4. Evaluate:lim(xrarr0)(sqrt(1+x^2)-sqrt(1+x))/(sqrt(1+x^3)-sqrt(1+x))

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  5. Evaluate: underset(x rarr 0)(lim)(e^(3x)-1)/(log(1+5x))

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  6. Evaluate :lim(xrarrpi//2)(xtanx-pi/2 secx)

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  7. Water is following into a right circular conical vassel. 45 cm deep an...

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  8. if y=f{f(x)},f(0)=0and f'(0)=5 find [dy/dx](x=0)

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  9. Find the coefficient of variation of the following data :

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  10. Find the mean deviation about median from the following data.

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  11. For any two events A and B prove that P(A cup B) le P{A) + P (B).

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  12. From 100 tickets numbered 1, 2,3.. ..... 100.four are drawn at random....

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  13. Two balls are drawn at random from a bag containing 6 white and 4 blac...

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  14. If the circles x^2+y^2+2ax+c^2=0and x^2+y^2+2by+c^2=0touch each other,...

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  15. If acosphi=b costheta,show that a tantheta+b tanphi=(a+b)tan((theta+ph...

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  16. If (cot(alpha-beta))/cotalpha+(cos^2gamma)/(cos^2alpha)=1show that tan...

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  17. Solve :cos^3xcos3x+sin^3xsin3x=0

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  18. In any triangle ABC If sinA : sinB: sinC=4:5:6,then prove that cos A ...

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  19. Find the domain of definition of the function defined by f(x)=1/loge(2...

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  20. Solve :barz=iz^2(z being a complex number)

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