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if x be real, show that the value of (2x...

if x be real, show that the value of `(2x^2-2x+4)/(x^2-4x+3)`cannot lie between(-7) and 1.

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UNITED BOOK HOUSE-MCQ-EXERCISE
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  2. 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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  3. If acosphi=b costheta,show that a tantheta+b tanphi=(a+b)tan((theta+ph...

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

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

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

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

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

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  9. if x be real, show that the value of (2x^2-2x+4)/(x^2-4x+3)cannot lie ...

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  10. If alpha be a root of the quadratic equaiton 4x^2+2x-1=0 .Prove that 4...

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  11. solve : |x+2|/x<3where x in Rand x!=0

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  12. Show that there are 136 ways of selecting 4 letters from the word EXAM...

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  13. If the coefficient of-four successive termsin the expansion of (1+x)^n...

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  14. If s1,s2,s3are thesums of n natural numbers, theirsquares, their cubes...

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  15. Find the sum upto n terms : 12+14+24+58+164+….

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  16. Find the equation of the parabola whose co-ordinate of vertex is (-2, ...

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  17. If (alpha+beta)and (alpha-beta)are the eccentric angles of the points ...

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  18. The foci of the ellipse x^2/25+y^2/9=1 coincide with a hyperbola. If e...

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  19. The equation of auxiliary circle of the ellipse 16x^(2)+25y^(2)+32x-10...

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  20. Find the area of the parabola y^(2) = 4ax bounded by its latus rectum.

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