Ncert- class10-Maths – Pair of Linear Equation in two variables Welcome to your Ncert- class10-Maths - Pair of Linear Equation in two variables 1. One equation of a pair of dependent linear equations -5x +7y=2 The second equation can be -10x+14y+4=0 -10x-14y+4=0 10x+14y+4=0 10x-14y=-4 None 2. The pair of linear equations 2kx +5y = 7, 6x-5y =11 has a unique solution, if k≠2/9 k≠5 k≠-3 k≠-2/3 None 3. If 3x +4y : x +2y =9 :4 then 3x+5y:3x-y is equal to 4 : 1 1 : 4 7 : 1 1 : 7 None 4. A fraction becomes 4 when 1 is added to both the numerator and denominator and it becomes 7 when 1 is subtracted from both the numerator and denominator. The numerator of the given fraction 15 2 3 5 None 5. If the lines given by 3x+2ky =2 and 2x +5y+1 =0are parallel, then the value of k is 3/2 15/4 2/5 -5/2 None 6. If a pair of linear equations is consistent, then the lines will be always intersecting always coincident intersecting or coincident parallel None 7. The pair of equations y =0 and y =-7 has two solutions no solution one solution infinitely many solutions None 8. In a number of two digits, unit’s digit is twice the tens digit. If 36 be added to the number, the digits are reversed. The number is 63 36 48 84 None 9. The pair of equations 3^x+y =81^x-y =3 has infinitely many solutions unique solution no solution x=2(1/8), y =1(7/8) None 10. For what value of k, do the equations 3x -y+8=0 and 6x-ky=-16 represent coincident lines ? -2 -1/2 1/2 2 None 11. x and y are 2 different digits. If the sum of the two digit numbers formed by using both the digits is a perfect square, then value of x+y is 13 12 10 11 None 12. The value of k for which the system of linear equations x+2y =3, 5x+ky+7=0 is inconsistent is 5 10 -14/3 2/5 None 13. The value of k for which the system of equations x+y-4=0 and xky 2x+ky=3 , has no solution, is -2 3 ≠2 2 None 14. For which value(s) of p, will the lines represented by the following pair of linear equations be parallel 3x-y-5=06x-2y-p=0 all real values except 10 5/2 10 1/2 None 15. The value of c for which the pair of equations cx-y =2 and 6x-2y =3 will have 3 -12 no value -3 None 16. The pair of equations x+2y+5=0 and -3x-6y+1=0 has exactly two solutions infinitely many solutions a unique solution no solution None 17. The pair of equations x = a and y =b graphically represents lines which are coincident parallel intersecting at (b, a) intersecting at (a, b) None 18. The 2 digit number which becomes 5/6 th of itself when its digits are reversed. The difference in the digits of the number being 1, then the two digits number is 45 54 None of these 36 None 19. If x= a and y =b is the solution of the equations x-y =2 and x+y =4 , then the values of a and b are, respectively 5 and 3 3 and 5 -1 and -3 3 and 1 None 20. Aruna has only £1 and £2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is £75, then the number of $1 and $2 coins are, respectively 25 and 25 35 and 20 15 and 35 35 and 15 None Time's up Please Share This Share this content Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Opens in a new window Leave a Reply Cancel replyCommentEnter your name or username to commentEnter your email address to commentEnter your website URL (optional) Save my name, email, and website in this browser for the next time I comment.