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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
- If x y=2(x+y),xlt=ya n dx ,y in N , then the number of solutions of t...
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- The quadratic equation ax^(2)+bx+c=0 has real roots if:
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- The equation |x+1||x-1|=a^(2) - 2a - 3 can have real solutions for x, ...
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- p, q, r in R and k is a prime number such that p+qk^(1//3)+rk^(2//3)=0...
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- The set of values of p for which the expression x^(2) −2px+3p+4...
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- For a<0, deterine all real roots of the equation x^2-2a|x-a|-3a^2=0.
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- The average of five consecutive even numbers is 40. What is the smalle...
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- Solve : (5+2sqrt6)^(x^(2)-3) +(5-2sqrt6)^(x^(2)-3) = 10
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- If a, b in {1, 2, 3, 4}, then the number of quadratic equations of the...
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- The minimum value of the expression a+(1)/(a), a gt0 is :
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- If a^2+b^2+c^2=1 then ab+bc+ca lies in the interval
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- The number of integral value(s) of x satisfying the equation ∣ ∣ ∣ ...
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- Number of value sof x satisfying the equation (15+4sqrt(14))^(t)+(15-4...
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- The inequality |2x-3|lt1 is valid when x lies in the interval :
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- Let a, be the roots of the equation x^2+x+1=0. The equation whose root...
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- The value of p for which the difference between the roots of the equat...
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- If x gt 0 and xy =1, the minimum value of (x + y) is
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- If x=7+4sqrt(3)\ \ a n d\ x y=1 , then 1/(x^2)+1/(y^2)= 64 (b) 134...
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- If x in R " and "alpha=(x^(2))/(1+x^(4)), then alpha lies in the inter...
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- The set of values for which x^(3)+1 ge x^(2)+x is
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