Question

send some hard questions for class 10 cbse students ( 20 questions) don't spam then I will report you​

Answer 1

Answer:

Q1. For what values of k does the following equations have no solution.

(a) (3k + 1)x + 3y – 2 = 0

(k2 + 1)x + (k – 2)y – 5 = 0

(b) kx + 3y = k – 3

12x + ky = k

Q2. For the pair of equations lx + 3y + 7 = 0 and 2x + 6y – 14 = 0. To have infinitely many

solutions, the value of l should be 1. Is the statement true? Give reasons.

Q3. Find the values of ‘a’ and ‘b’ for which the following system of linear equations has

infinite number of solutions :

2x + 3y = 7

(a + b + 1)x + (a + 2b + 2)y = 4(a + b) + 1

Q4. For which value(s) of k will the pair of equations

kx + 3y = k – 3,

12x + ky = k

have no solution?

Q.5. For what value(s) of k does the pair of given equations have a unique solution.

x + 2y = 3

5x + ky + 7 = 0

Q6. Solve:

x + y = a + b

ax – by = a2 + b2

Q7. Solve:

$\frac{x}{a} + \frac{y}{b } = 2$

$ax - by = {a}^{2} - {b}^{2}$

Q8. Solve:

(a - b)x + (a + b)y = a2 - 2ab - b2

(a + b)(x + y) = a2 + b2

Q9. Solve:

px + qy = p - q

qx - py = p+ q

Q10. Solve for x

$\frac{1}{2(x + 2y)} + \frac{5}{5(3x - 2y)} = \frac{ - 3}{2}$

$\frac{5}{4(x + 2y)} - \frac{3}{5(3x - 2y)} = \frac{61}{60}$

Q11. A two-digit number becomes 6/5 of itself if the digits are interchanged. If the digits differ by 1, find the number.

Q12. There are some students in the two examination halls A and B. to make the number of students equal in each hall, 10 students are sent from A to B but, if 20 students are sent from B to A, the number of students in A becomes double the number of students in B, then find the number of students in the both halls.

Q13. In a competitive examination, 1 mark is awarded for each correct answer while ½ mark is deducted for every wrong answer. Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly?

Q14. The sum of a two-digit number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the number. How many such numbers are there?

Q15. The present ages of A and B are in the ratio 5 : 4. After 6 years, their ages will in the ratio 6 : 5. Find their present ages.

Q16. The age of father is twice the sum of the ages of his two children. After 20 year, his age will be equal to the sum of the ages of his children. Find the age of the father.

Q17. In a DABC, /_C = 3 /_B = 2(/_ A + /_ B). Find the three angles . { /_ means angle }

Q18. A railway half ticket cost half the full fare but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ticket form the stations A to B cost `2530. Also, one reserved first class ticket and one reserved first class half ticket from stations A to B costs `3810. Find the full first class fare from stations A to B and also the reservation charges for a ticket.

Q19. A person invested some amount at the rate of 12% simple interest and some other amount at the rate of 10% simple interest. He received yearly interest of Rs. 130.

But, if he had interchanged the amounts invested, he would have received Rs. 4 more as interest. How much amount did he invest at different rates?

Q20. On selling a tea-set at 5% loss and a lemon-set at 15% gain, a crockery seller gains Rs 7. If the sells the tea-set at 5% gain and the lemon set at 10% gain, he gains Rs. 13. Find the actual price of the tea-set and the lemon-set .

Here you go mate....☆☆

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Answer 2

Step-by-step explanation:

he pair of equations x + 2y + 5 = 0 and -3x – 6y + 1 = 0 have