Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles

Q: Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.

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Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same

Q: Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different…

Diagonal AC Of A Parallelogram ABCD Bisects Angle A Show That It Bisects Angle C Also & ABCD is rhombus


Q: Diagonal AC of a parallelogram ABCD bisects ∠ A (see Fig. 8.19). Show that (i) it bisects ∠ C also, (ii) ABCD is a rhombus.
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ABCD is a Rhombus Show that Diagonal AC bisects Angle A as well as Angle C | NCERT ex 8.1 class 9 q7

Q: ABCD is a rhombus. Show that diagonal AC bisects ∠ A as well as ∠ C and diagonal BD bisects ∠ B as well as ∠ D.
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ABCD is a rectangle in which diagonal AC bisects angle A as well as angle C |NCERT ex 8.1 class 9 q8

Q: ABCD is a rectangle in which diagonal AC bisects ∠ A as well as ∠ C. Show that: (i) ABCD is a square (ii) diagonal BD bisects ∠ B as well as ∠ D.
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The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units

Q: The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3…

Rationalise 3 + Root 2/ 3 - Root 2 | Rationalise the denominator of (3 + √2)/(3 − √2)

Q: Rationalise the denominator of (3 + √2)/(3 − √2)
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In Class 9, Rationalisation is one of the most important chapters. RD Sharma solutions…

5 + root 3 by 7 minus 4 root 3|5 + root 3 by 7-4 root 3 |Rationalise the Denominator (5+2√3)/(7-4√3)


Q: Rationalise: (5 + √3)/(7 −4√3)
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In Class 9, Rationalisation is one of the most important chapters. RD Sharma solutions…

In parallelogram ABCD two points P and Q are taken on diagonal BD such that DP=BQ | Ex 8.1 Class 9 Q9

Q: In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see Fig. 8.20). Show that:
(i) Δ APD ≅ Δ CQB
(ii) AP = CQ
(iii)…

1/2x+1/3y=2 1/3x+1/2y=13/6 Solve the Pair of Equations by Reducing them to a Pair of Linear Equation

Q: Solve the following pairs of equations by reducing them to a pair of linear equations: 1/2𝑥+1/3𝑦 = 2; /3𝑥+1/2𝑦 = 13/6


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Solve 2/Root x + 3/Root y = 2 and 4/Root x - 9/root y = -1 | 2/√x+3/√y=2 and 4/√x-9/√y=-1

Q: Solve the following pairs of equations by reducing them to a pair of linear equations: 2/√x+3/√y=2 and 4/√x-9/√y=-1

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4/x+3y=14 and 3/x-4y=23 Solve the following equations by reducing them to pair of linear equations

Q: Solve the following pairs of equations by reducing them to a pair of linear equations: 4/𝑥+3𝑦=14 and 3/𝑥 - 4y = 23 …

In Triangle ABC And Triangle DEF AB=DE AB DE |class 9 maths chapter 8 exercise 8.1 Question 11

Q: In Δ ABC and Δ DEF, AB = DE, AB || DE, BC = EF and BC || EF Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. 8.22). Show that
(i)…

ABCD Is a Trapezium In Which AB Parallel to CD and AD=BC Show That | Class 9 Maths Ch 8 Ex 8.1 Q12

Q: ABCD is a trapezium in which AB || CD and AD = BC (see Fig. 8.23). Show that
(i) ∠ A = ∠ B
(ii) ∠ C = ∠ D
(iii) Δ ABC ≅ Δ BAD
(iv) diagonal AC = diagonal…

5/x-1+1/y-2=2 6/x-1-3/y-2=1 Solve the following pairs of equations by reducing them to pair

Q: Solve the following pairs of equations by reducing them to a pair of linear equations:
𝟓/(𝒙−𝟏)+𝟏/(𝒚−𝟐)=𝟐;
𝟔/(𝒙−𝟏) - 𝟑/(𝒚−𝟐) = 1

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7x-2y/xy=5 8x+7y/xy=15 Solve the pair of Equations by reducing them to pair of linear equations

Q: Solve the following pairs of equations by reducing them to a pair of linear equations:
(v) (7x-2y)/(xy)=5 (8x+7y)/(xy)=15

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