Please select a subject first
Advertisements
Advertisements
The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.
Concept: Geometrical Meaning of the Zeroes of a Polynomial
The given linear polynomial y = f(x) has
Concept: Geometrical Meaning of the Zeroes of a Polynomial
If α, β are zeroes of quadratic polynomial 5x2 + 5x + 1, find the value of α2 + β2.
Concept: Relation Between Zeroes (Roots) and Coefficients of a Quadratic Equation
If α, β are zeroes of quadratic polynomial 5x2 + 5x + 1, find the value of α–1 + β–1.
Concept: Relation Between Zeroes (Roots) and Coefficients of a Quadratic Equation
Find the zeroes of the quadratic polynomial 4s2 – 4s + 1 and verify the relationship between the zeroes and the coefficients.
Concept: Relation Between Zeroes (Roots) and Coefficients of a Quadratic Equation
If α and β are the zeroes of the polynomial x2 + x − 2, then find the value of `alpha/beta+beta/alpha`
Concept: Geometrical Meaning of the Zeroes of a Polynomial
Form the pair of linear equation in the following problem, and find its solution (if they exist) by the elimination method:
If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes `1/2` if we only add 1 to the denominator. What is the fraction?
Concept: Algebraic Methods of Solving a Pair of Linear Equations >> Elimination Method
Form the pair of linear equation in the following problem, and find its solution (if they exist) by the elimination method:
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
Concept: Algebraic Methods of Solving a Pair of Linear Equations >> Elimination Method
The sum of a two-digit number and the number formed by reversing the order of digit is 66. If the two digits differ by 2, find the number. How many such numbers are there?
Concept: Algebraic Methods of Solving a Pair of Linear Equations >> Elimination Method
A fraction becomes `1/3` when 2 is subtracted from the numerator and it becomes `1/2` when 1 is subtracted from the denominator. Find the fraction.
Concept: Algebraic Methods of Solving a Pair of Linear Equations >> Elimination Method
Rehana went to a bank to withdraw ₹ 2000. She asked the cashier to give her ₹ 50 and ₹ 100 notes only. Rehana got 25 notes in all. Find how many notes of ₹ 50 and ₹ 100 did she received.
Concept: Algebraic Methods of Solving a Pair of Linear Equations >> Elimination Method
Solve the following quadratic equation for x: x2 – 2ax – (4b2 – a2) = 0
Concept: Method of Solving a Quadratic Equation
Solve for x : ` 2x^2+6sqrt3x-60=0`
Concept: Nature of Roots of a Quadratic Equation
Find the values of k for which the quadratic equation 9x2 - 3kx + k = 0 has equal roots.
Concept: Nature of Roots of a Quadratic Equation
Solve for x: `(x-3)/(x-4)+(x-5)/(x-6)=10/3; x!=4,6`
Concept: Method of Solving a Quadratic Equation
If -5 is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation p(x2 + x)k = 0 has equal roots, find the value of k.
Concept: Nature of Roots of a Quadratic Equation
Solve for x
:`1/((x-1)(x-2))+1/((x-2)(x-3))=2/3` , x ≠ 1,2,3
Concept: Method of Solving a Quadratic Equation
Solve for x: `1/(x+1)+2/(x+2)=4/(x+4), `x ≠ -1, -2, -3
Concept: Nature of Roots of a Quadratic Equation
Solve for x
`(2x)/(x-3)+1/(2x+3)+(3x+9)/((x-3)(2x+3)) = 0, x!=3,`
Concept: Method of Solving a Quadratic Equation
Find x in terms of a, b and c: `a/(x-a)+b/(x-b)=(2c)/(x-c)`
Concept: Method of Solving a Quadratic Equation
