WebA polynomial equation whose degree is 2, is known as quadratic equation. A quadratic equation in its standard form is represented as: ax2 + bx + c = 0, where a, b and c are real numbers such that a ≠ 0 and x is a variable. … WebLet normal's drawn to parabola at point's P 0,0 and Q 3, 1 intersect at 2,1. If P Q is bisected by the axis of the parabola, thenA. Equation of directrix is x +3 y +5=0B. Slope of axis is 3C. Focus is 8,0 1D. Slope of tangent at vertex is 3
Discriminant Formula in Quadratic Equations with Solved Examples - BYJUS
WebAccess Answers of Maths NCERT Class 10 Chapter 4 – Quadratic Equations Exercise 4.4 1. Find the nature of the roots of the following quadratic equations. If the real roots … WebByju's Answer Standard XII Mathematics Methods of Solving a Quadratic Equation Consider the ... Question Consider the equation 10z2−3iz−k=0, where z is a complex variable and i2 =−1. Which of the following statements is true? A For all purely imaginary numbers k, both roots are real and irrational. B For all complex numbers k, neither root is … safal rethal greens
RD Sharma Solutions for Class 10 Maths Chapter 8 Quadratic
WebFind the two natural numbers which differ by 5 and the sum of whose squares is 97. Solution: Let’s assume the two natural numbers to be x and x + 5. (As given they differ by 5) So from the question, x 2 + (x + 5) 2 = 97 2x 2 + 10x + 25 – 97 = 0 2x 2 + 10x – 72 = 0 x 2 + 5x – 36 = 0 (x + 9) (x – 4) = 0 x = -9 or 4 WebSolve the following quadratic equation by factorization: 1. (x – 4) (x + 2) = 0 Solution: Given, (x – 4) (x + 2) = 0 So, either x – 4 = 0 ⇒ x = 4 Or, x + 2 = 0, ⇒ x = – 2 Thus, the roots of the given quadratic equation are 4 and -2, respectively. 2. (2x + 3) (3x – 7) = 0 Solution: Given, (2x + 3) (3x – 7) = 0. So, either 2x + 3 = 0, ⇒ x = – 3/2 WebR S Aggarwal Solutions for Class 10 Maths Chapter 4 Quadratic Equations Exercise 4A Page No: 175 Question 1: Solution: A quadratic equation is an equation of the second degree. (i) x 2 – x + 3 = 0 Highest Degree: 2 Quadratic equation. (ii) 2x 2 + 5/2x – √3 = 0 Highest Degree: 2 Quadratic equation. (iii) √2x 2+7x+5√2=0 isgec john thompson