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Question 1 of 30
1. Question
Find the dimensions of a garden, whose length is 4 m more than its width and half the perimeter is 36 m.
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Question 2 of 30
2. Question
The sides of a triangle are AB, BC and AC whose equations are respectively y2 = 0; y = 3x – 7 and 2y + x = 0, The coordinates of points A and B are :
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Question 3 of 30
3. Question
Given is the system of Inconsistent equations, 2x + 7y = 11 and 5x + ky – 25 = 0, find k.
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Question 4 of 30
4. Question
10 students of class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys who took part in the quiz.
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Question 5 of 30
5. Question
5 pencils and 7 pens together cost Rs. 50 whereas 7 pencils and 5 pens cost Rs. 46. Find the cost of 2 pencils and 3 pens.
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Question 6 of 30
6. Question
A linear equation in two variables has:
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Question 7 of 30
7. Question
A pair of linear equations is not consistent if:
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Question 8 of 30
8. Question
In a AABC, ∠A = x°, ∠B = (3a – 2)° and ∠C = y°. Also, ∠C – ∠B = 9°. Find the value of ∠B.
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Question 9 of 30
9. Question
The perimeter of a rectangle is 44 cm. Its length exceeds twice its breadth by 4 cm. Find the area of the rectangle.
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Question 10 of 30
10. Question
For what value of k, will the equations, x + 2y + (11 – k) = 0 and 2x + ky + (10 + k) = 0 represent the coincident lines :
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Question 11 of 30
11. Question
An equation ax + by + c = 0 is a linear equation in 2 variables, where a, b, c are :
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Question 12 of 30
12. Question
Equation of line m is :
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Question 13 of 30
13. Question
The pair of equations y = 9 and y = – 7 has:
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Question 14 of 30
14. Question
The system of equations 3x – 5y = 20 and 6x – 10y = 40 has :
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Question 15 of 30
15. Question
For what value of a, the pair of equations, 3x + 2y – 4= 0 and ax – y – 3 = 0 has a unique solutions :
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Question 16 of 30
16. Question
The sum of a two digit number is 8. The number obtained by reversing the digits exceeds the number by 18. Then the given number is :
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Question 17 of 30
17. Question
In a triangle, the sum of two angles is equal to the third angle. If the difference between two angles is 30°, find the angles.
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Question 18 of 30
18. Question
Question 18.
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Question 19 of 30
19. Question
The line x – y + 1 = 0 meets Yaxis at:
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Question 20 of 30
20. Question
The solutions of the system of equations, x – y + 1 = 0, 3x + 2y 12 = 0 is :
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Question 21 of 30
21. Question
The area of triangle formed by xy +1 = 0, 3x + 2y 12 = 0 and Xaxis is :
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Question 22 of 30
22. Question
The area of triangl e formed by x – y +1 = 0, 3x + 2y 12 = 0 and x = 0 is :
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Question 23 of 30
23. Question
Find the value of (x + y) if 148x + 231y=527 and 231x + 148y = 610.
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Question 24 of 30
24. Question
The line x = 4 :
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Question 25 of 30
25. Question
If x and y satisfy the given two equations, 4x + \(\frac{6}{y}\) = 15, 6x – \(\frac{8}{y}\) = 14; find p is y = px – 2.
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Question 26 of 30
26. Question
Find the value which k cannot take, for the given system to have a unique solutions, x + 2y = 3, ky + 5x + 7 = 0.
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Question 27 of 30
27. Question
Find p and q so that given system has infinite number of solutions, 4x + 6y 14 = 0.(p + q)x + (2 p – q)y – 3 (p + q +1) = 0
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Question 28 of 30
28. Question
Find x and y in the given rectangle :
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Question 29 of 30
29. Question
Equation of line l is,
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Question 30 of 30
30. Question
Equation of line m is :
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