A) 5, 3 done clear
B) 7, 1 done clear
C) 4, 4 done clear
D) 2, 6 done clear
View Solution play_arrowA) 57 done clear
B) 75 done clear
C) 85 done clear
D) 58 done clear
View Solution play_arrowA) \[\frac{7}{11}\] done clear
B) \[\frac{3}{5}\] done clear
C) \[\frac{5}{8}\] done clear
D) \[\frac{4}{7}\] done clear
View Solution play_arrowquestion_answer4) If am = bl and \[bn\ne cm,\]then the system of equations \[ax+by=c\] \[lx+my=n\]
A) Has a unique solution. done clear
B) Has no solution. done clear
C) Has infinitely many solutions. done clear
D) May or may not have a solution. done clear
View Solution play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
View Solution play_arrowA) 2. 5 done clear
B) 5, 8 done clear
C) 4, 8 done clear
D) 3, 6 done clear
View Solution play_arrowA) \[{{20}^{o}}\text{, }{{40}^{o}},\text{ }{{120}^{o}}\] done clear
B) \[{{30}^{o}},\text{ }{{60}^{o}},\text{ }{{90}^{o}}\] done clear
C) \[{{45}^{o}},\text{ 4}{{\text{5}}^{o}},\text{ }{{90}^{o}}\] done clear
D) \[{{90}^{o}},\text{ 4}{{\text{0}}^{o}},\text{ 5}{{0}^{o}}\] done clear
View Solution play_arrowquestion_answer8) \[ax+by+c=0\]does not represent an equation of line when ____.
A) \[a=c=0,\,\,b\ne 0\] done clear
B) \[b=c=0,\,\,a\ne 0\] done clear
C) \[a=b=0~\] done clear
D) \[a=b\ne 0\] done clear
View Solution play_arrowA) 63 done clear
B) 36 done clear
C) 24 done clear
D) 40 done clear
View Solution play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) Infinite done clear
View Solution play_arrowquestion_answer11) Sum of two numbers is 64 and their difference is 22. Find the numbers.
A) 42, 22 done clear
B) 43. 21 done clear
C) 40, 24 done clear
D) 50, 28 done clear
View Solution play_arrowA) Always intersecting done clear
B) Parallel done clear
C) Always coincident done clear
D) Intersecting or coincident done clear
View Solution play_arrowA) 1,2 done clear
B) 0, 0 done clear
C) \[-1,\text{ }2\] done clear
D) \[1,-2\] done clear
View Solution play_arrowquestion_answer14) Value of x in pair of linear equations \[36x+24y=702\]and \[24x+36y=558\]is
A) \[\frac{33}{2}\] done clear
B) \[\frac{145}{7}\] done clear
C) 16 done clear
D) 17 done clear
View Solution play_arrowquestion_answer15) Which of the following linear equation coincide with the line\[4x+5y=15\]?
A) \[8x+10y=25\] done clear
B) \[2x+3y=7\] done clear
C) \[7x+14y=17\] done clear
D) \[12x+15y=45\] done clear
View Solution play_arrowA) 25 done clear
B) 56 done clear
C) 30 done clear
D) Can't be determined done clear
View Solution play_arrowA) 90 km/hr, 40 km/hr done clear
B) 40 km/hr, 30 km/hr done clear
C) 20 km/hr, 60 km/hr done clear
D) 50 km/hr, 12 km/hr done clear
View Solution play_arrowA) \[x+y=12,\text{ }x-y=8\] done clear
B) \[x+y=5,\text{ }x-y=11\] done clear
C) \[x+y=6.\text{ x-}y=10\] done clear
D) \[x+y=10,\text{ }x-y=6\] done clear
View Solution play_arrowA) 50 years done clear
B) 35 years done clear
C) 51 years done clear
D) 36 years done clear
View Solution play_arrowA) Rs.100, Rs.80 done clear
B) Rs. 90, Rs. 100 done clear
C) Rs.120, Rs. 60 done clear
D) Rs.150, Rs. 80 done clear
View Solution play_arrowA) \[x=1,\text{ }y=2\] done clear
B) \[x=2,\text{ }y=1\] done clear
C) \[x=2,y=\frac{1}{2}\] done clear
D) \[x=\frac{1}{2},y=2\] done clear
View Solution play_arrowquestion_answer22) Match the following.
System of equations | Solutions |
(P) \[2x-3y+15=0\] \[3x-5=0\] | (i) \[x=3,\text{ }y=5\] |
(Q) \[2x-y=1\] \[4x+3y=27\] | (ii) \[x=1,y=4\] |
(R) \[x+2y-3=0\] \[3x-2y+7=0\] | (iii) \[x=\frac{5}{3},y=\frac{55}{9}\] |
(S) \[4x+\frac{y}{3}=\frac{16}{3}\] \[\frac{x}{2}+\frac{2y}{4}=\frac{5}{2}\] | (iv) \[x=-1,y=2\] |
A) (P) \[\to \] (iii); (Q) \[\to \] (iv); (R) \[\to \] (i); (S) \[\to \] (ii) done clear
B) (P) \[\to \] (iii); (Q) \[\to \] (i); (R) \[\to \] (iv); (S) \[\to \] (ii) done clear
C) (P) \[\to \] (iii); (Q) \[\to \] (ii); (R) \[\to \] (iv); (S) \[\to \] (i) done clear
D) (P) \[\to \] (ii); (Q) \[\to \] (i); (R) \[\to \] (iv); (S) \[\to \] (iii) done clear
View Solution play_arrowquestion_answer23) Which of the following graphs represent the lines \[2x+4y=8\] and\[3x-4y=12\]?
A) done clear
B) done clear
C) done clear
D) done clear
View Solution play_arrowquestion_answer24) Fill in the blanks.
(i) If pair of linear equations is consistent then it has either P or Q solution(s). |
(ii) If the pair of linear equation is inconsistent then it has B solution(s). |
(iii) If the graph of two linear equations coincide then they have S solution(s). |
A)
P | Q | R | S |
no | Infinite | Unique | Infinite |
B)
P | Q | R | S |
unique | Infinite | No | Infinite |
C)
P | Q | R | S |
no | Infinite | Unique | Unique |
D)
P | Q | R | S |
unique | No | Infinite | No |
question_answer25) Read the statements carefully and state 'T' for true and 'F' for false.
(i) The pair of linear equations \[x+2y=5\]and \[7x+3y=13\] has unique solution\[x=2.\text{ }y=1\]. |
(ii) \[\sqrt{2}x+\sqrt{3}y=0,\] \[\sqrt{3}x-\sqrt{8}y=0\] has no solution. |
(iii) The values of p and q for which the following system of equations \[2x-y=5,\] \[(p+q)x+(2p-q)y=15\]has infinite number of solutions, is \[p=1\]and\[q=5\]. |
A) i-T ii-F iii-T done clear
B) i-T ii-T iii-F done clear
C) i-F ii-T iii-T done clear
D) i-F ii-F iii-T done clear
View Solution play_arrowYou need to login to perform this action.
You will be redirected in
3 sec