Educational

The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300 Represent the situation algebraically and geometrically.

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Represent the situation algebraically and geometrically Video Explanation Watch the video explanation below: Given The cost of 2 kg of apples and 1 kg of grapes is ₹160. After a month, the cost of 4 kg of apples and 2 kg of grapes is ₹300. To Represent The situation algebraically The situation geometrically (graphically) Algebraic […]

The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300 Represent the situation algebraically and geometrically. Read More »

Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (i) intersecting lines (ii) parallel lines (iii) Coincident lines

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Given the linear equation 2x + 3y − 8 = 0, write another linear equation such that the geometrical representation of the pair is intersecting, parallel and coincident Video Explanation Watch the video explanation below: Given First linear equation: 2x + 3y − 8 = 0 To Write Another linear equation in each case so

Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (i) intersecting lines (ii) parallel lines (iii) Coincident lines Read More »

On comparing the ratios a1/a2 = b1/b2 = c1/c2 and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide: ​(i) 5x−4y+8=0, 7x+6y−9=0 ​(ii) 9x+3y+12=0, 18x+6y+24=0 (iii) 6x-3y+10=0, 2x-y+9=0

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Find whether the following pairs of linear equations intersect, are parallel or coincide (without drawing graphs) Video Explanation Watch the video explanation below: Method Used For two linear equations: a₁x + b₁y + c₁ = 0 a₂x + b₂y + c₂ = 0 If a₁/a₂ ≠ b₁/b₂ → Lines intersect If a₁/a₂ = b₁/b₂ ≠

On comparing the ratios a1/a2 = b1/b2 = c1/c2 and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide: ​(i) 5x−4y+8=0, 7x+6y−9=0 ​(ii) 9x+3y+12=0, 18x+6y+24=0 (iii) 6x-3y+10=0, 2x-y+9=0 Read More »

Gloria is walking along the path joining (-2, 3) and (2, -2), while Suresh is walking along the path joining (0, 5) and (4, 0). Represent this situation graphically.

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Represent the situation graphically Video Explanation Watch the video explanation below: Given Gloria is walking along the path joining the points: (−2, 3) and (2, −2) Suresh is walking along the path joining the points: (0, 5) and (4, 0) To Represent The given situation graphically on the Cartesian plane. Solution Step 1: Draw the

Gloria is walking along the path joining (-2, 3) and (2, -2), while Suresh is walking along the path joining (0, 5) and (4, 0). Represent this situation graphically. Read More »

The path of the train A is given by the equation 3x+4y-12 =0 and the path of another train B is given by the equation 6x+8y-48 =0. Represent this situation graphically.

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Represent the situation graphically Video Explanation Watch the video explanation below: Given The path of train A is given by: 3x + 4y − 12 = 0 The path of train B is given by: 6x + 8y − 48 = 0 To Represent The given situation graphically. Solution Step 1: Write Both Equations in

The path of the train A is given by the equation 3x+4y-12 =0 and the path of another train B is given by the equation 6x+8y-48 =0. Represent this situation graphically. Read More »

Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” Is not this interesting? Represent this situation algebraically and graphically.

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Represent the situation algebraically and graphically Video Explanation Watch the video explanation below: Given Aftab tells his daughter: Seven years ago, I was seven times as old as you were. Three years from now, I shall be three times as old as you will be. To Represent The situation algebraically The situation graphically Algebraic Representation

Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” Is not this interesting? Represent this situation algebraically and graphically. Read More »

Akhila went to a fair in her village. She wanted to enjoy rides on the Giant Wheel and play Hoopla (a game in which you throw a rig on the items in the stall, and if the ring covers any object completely you get it). The number of times she played Hoopla is half the number of rides she had on the giant wheel. Each ride costs ₹3 and a game of hoopla costs ₹4. If she spent ₹20 in the fair, represent this situation algebraically and graphically

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Represent the situation algebraically and graphically Video Explanation Watch the video explanation below: Given Akhila went to a fair in her village. Let the number of Giant Wheel rides = x The number of Hoopla games = x/2 Cost of one Giant Wheel ride = ₹3 Cost of one Hoopla game = ₹4 Total amount

Akhila went to a fair in her village. She wanted to enjoy rides on the Giant Wheel and play Hoopla (a game in which you throw a rig on the items in the stall, and if the ring covers any object completely you get it). The number of times she played Hoopla is half the number of rides she had on the giant wheel. Each ride costs ₹3 and a game of hoopla costs ₹4. If she spent ₹20 in the fair, represent this situation algebraically and graphically Read More »

Verify that the numbers given along side of the cubic polynomials below are their zeros. Also, verify the relationship between the zeros and coefficients f(x)=2x^3+x^2-5x+2; 1/2, 1, -2

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Verify that 1/2, 1 and −2 are the zeroes of the cubic polynomial f(x) = 2x³ + x² − 5x + 2 and verify the relationship between the zeroes and coefficients Video Explanation Watch the video explanation below: Given f(x) = 2x³ + x² − 5x + 2 The given zeroes are: 1/2, 1 and

Verify that the numbers given along side of the cubic polynomials below are their zeros. Also, verify the relationship between the zeros and coefficients f(x)=2x^3+x^2-5x+2; 1/2, 1, -2 Read More »

Which of the Following Is Not the Graph of a Quadratic Polynomial?

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Which of the following is not the graph of a quadratic polynomial? Video Explanation Watch the video explanation below: Explanation A quadratic polynomial of the form y = ax² + bx + c always represents a parabola. Its graph: is shaped like ∪ (opens upward) or ∩ (opens downward), has at most two x-intercepts (roots),

Which of the Following Is Not the Graph of a Quadratic Polynomial? Read More »

If One Zero of the Quadratic Polynomial x² + ax + b Is the Negative of the Other, Find the Correct Statement

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If one of the zeros of a quadratic polynomial of the form x² + ax + b is the negative of the other, then find the correct statement Video Explanation Watch the video explanation below: Given Quadratic polynomial: f(x) = x² + ax + b One zero is the negative of the other. To Find

If One Zero of the Quadratic Polynomial x² + ax + b Is the Negative of the Other, Find the Correct Statement Read More »