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Algebra : Linear Quadratic Equations - Practice Questions

A collection of questions that typically appear on Linear (1st order equations - equation of straight lines) and Quadratic (parabolic functions) and cubic equations.
  1. Question 1: If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m? 
    Answer and Explanations »

  2. Question 2:  Find the remainder when the polynomial x4 - 3x2 + 7x - 10 is divided by x - 2.
    Answer and Explanations »

  3. Question 3:  If one of the roots of the quadratic equation 2x2 - 7x + q = 0 is 3, then find the other root.
    Answer and Explanations »

  4. Question 4:  A railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. One reserved first class ticket from Chennai to Trivandrum costs Rs. 216 and one full and one half reserved first class tickets cost Rs. 327. What is the basic first class full fare and what is the reservation charge?
    Answer and Explanations »

  5. Question 5:  If p and q are the roots of the equation x2 - bx + c = 0, then what is the equation if the roots are (pq + p + q) and (pq - p - q)?
    Answer and Explanations »

  6. Question 6:  If (x + 2) 2 = 9 and (y + 3) 2 = 25, then the maximum value of x / y is.
    Answer and Explanations »

  7. Question 7:  For what values of 'm' is y = 0, if y = x2 + (2m + 1)x + m2 - 1? X is a real number.
    Answer and Explanations »




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