Maharashtra Board Class 10 Mathematics — Flashcards for Quick Revision

A: A linear equation in two variables is an equation that contains two variables where the degree of each term containing a variable is one. The general form is ax + by + c = 0, where a, b, c are real nu

A: No, this is not a linear equation in two variables because the term 3x² has degree 2 (the variable x is squared), which violates the condition that each term containing a variable should have degree 1

A: When we consider two linear equations in two variables at the same time, they are called simultaneous linear equations. For example: x + y = 4 and 2x - y = 2 are simultaneous equations.

A: The ratio of areas of two triangles = (Base₁ × Height₁)/(Base₂ × Height₂) If triangle ABC has base b₁ and height h₁, and triangle PQR has base b₂ and height h₂, then: A(△ABC)/A(△PQR) = (b₁ × h₁)/(b₂

A: When two triangles have equal heights, the ratio of their areas equals the ratio of their corresponding bases. A(△ABC)/A(△PQR) = Base₁/Base₂ This is because the height cancels out in the formula: (b

A: If a line parallel to a side of a triangle intersects the remaining sides in two distinct points, then the line divides the sides in the same proportion. In △ABC, if line l ∥ BC and intersects AB at

A: A quadratic equation is an equation involving one variable with all indices as whole numbers and having 2 as the maximum index of the variable. General form: ax² + bx + c = 0, where a, b, c are real n

A: Comparing with ax² + bx + c = 0: a = 3 (coefficient of x²) b = -7 (coefficient of x) c = 2 (constant term)

A: The roots of a quadratic equation are the values of the variable that make the equation equal to zero. If x = α is a root of ax² + bx + c = 0, then aα² + bα + c = 0.