solve by cross multiplication method x-3y-7=0 3x-3y-15=0 | Ch 3 Class 10 Maths Ex 3.5 Q1 (iv)

Q: Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique solution, find it…

2x+3y=7 (a-b)x+(a+b)y=3a+b-2 Solve when equation having infinite solutions Class 10 Maths Ex 3.5 Q2

Q: For which values of a and b does the following pair of linear equations have an infinite number of solutions?
(i) 2x + 3y = 7; (a – b) x + (a + b)…

3x+y=1 and (2k-1)x+(k-1)y=2k+1 | For which value of k will the following pair of linear equations

Q: For which value of k will the following pair of linear equations have no solution?
3x + y = 1; (2k – 1) x + (k – 1) y = 2k + 1

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8x+5y=9 3x+2y=4 Solve using Substitution and Cross Multiplication method | Maths Class 10 Ex 3.5 Q3

Q: Solve the following pair of linear equations by the substitution and cross-multiplication methods : 8x + 5y = 9; 3x + 2y = 4


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A part of monthly hostel charges is fixed and the remaining depends on the number of days

Q: A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days…

A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added

Q: A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction.

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Yash scored 40 marks in a test getting 3 marks for each right answer and losing 1 mark for each

Q: Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer…

The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13 Find all the angles of the quadrilateral

Q: The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.


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Q: If the diagonals of a Parallelogram are equal then show that it is a Rectangle | Ex 8.1 Class 9 Q2


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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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