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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
- Let lambda,mu be such that the equations 4x^2 - 8x + 3 = 0, x^2 + lamb...
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- Find the values of a for which x^2-ax+1-2a^2ge0 for real values of x.
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- Find the minimum value of 3x^2-6x+7, x in R and also find the correspo...
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- Find the maximum value of (2+3x)(1-x),x in R and also find the corresp...
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- If f(x) = (x^2 -2x + 4)/(x^2+2x+4), x in R then range of function is
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- Range of (x^2-x+1)/(x^2+x+1) is
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- If for all real x (x+a)/(x^2+b x+c^2) cannot lie between two limits, ...
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- If x is real, show that the expression (4x^2+36 x+9)/(12 x^2+8x+1) can...
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- If x in R ,a n da ,b ,c are in ascending or descending order of magni...
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- If f(x)=(ax^2+x-2)/(a+x-2x^2) has the range R when x in R then
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- Let f(x)=(mx^2+3x+4)/(x^(2)+3x+4) , m in R . If f(x) lt 5 for all x i...
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- For x in R, the expression (x^2+2x+c)/(x^2+4x+3c) can take all real va...
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- x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. a pair...
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- If the expression x^2+2(a+b+c)x+3(bc+ca+ab) is a perfect square then
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- If (a1x^2 +bx+c1)y+(a2x^2+b2x+c1)=0 find condition that x is a ration...
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- 52 Show that a(b - c)x^2 + b(c - a)xy + c(a - b)y^2 will be a perfect...
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- For what value of k, (x + y + z)^2 + k(x^2 +y^2 + z^2) can be resolve...
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- If (x-1)^(2) is a factor of ax^(3) +bx^(2) +c then roots of the equa...
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- If a1x^3 + b1x² + c1x + d1 = 0 and a2x^3 + b2x^2+ c2x + d2 = 0 have a ...
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- If |x|+|x-1|=3 then x= .
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