The ratio of the number of students in schools X and Y is 4:7. if 15 students from Y join X, then the ratio becomes 1:1. What is the total number of students in the schools X and Y?
1 Answers
Talk Doctor Online in Bissoy App
If the point `x_1+t(x_2-x_1),y_1+t(y_2-y_1)` divides the join of `(x_1,y_1)` and `(x_2,y_2)` internally then
Correct Answer - B `(x_1+t(x_2-x_1),y_1+t(y_2-y_1)-=(x_1(1-t)+tx_2,y_1(1-t)+(ty_2)` is the point whihc divides the join of `(x_1,y_1)` and `(x_2,y_2)` in the ratio `t:(1-t)`, whihch is positive oif `0lttlt1`.
2 Answers 1 views
A point `A` divides the join of `P(-5,1)` and `Q(3,5)` in the ratio `k :1` . Then the integral value of `k` for which the area of ` A B C ,` where `B`
Correct Answer - 7 Using section formula `A-=((3k-5)/(k+1),(5k+1)/(k+1))`. Area of triangle ABC is 2 sq. units. Therefore, `(1)/(2)|{:(1,,5,,1),(7,,-2,,1),((3k-5)/(k+1),,(5k+1)/(k+1),,1):}|=+-2` Operating `R_2toR_2-R_1,R_3toR_3toR_1`, we get `|{:(1,,5,,1),(6,,-7,,0),((3k-5)/(k+1),,(5k+1)/(k+1)-5,,0):}|=+-4` or `6((5k+1-5k-5)/(k+1))+7((3k-1-5k-1)/(k+1))=+-4` or `-24+7(2k-6)=+-4(k+1)` i.e., `k=7 or k=(31)/(9)`
2 Answers 1 views
A class has `175` students. The following data shows the number of students obtaining one or more subjects : Mathematics `100`, Physics `70`, Chemistr
Correct Answer - `60`
2 Answers 1 views
The square of one-sixth of the number of students in a class are studying in the library and the remaining eight students are playing in the ground. W
Correct Answer - 12 or 24
2 Answers 5 views
A class has `175` students, The following description gives the number of students studying one or more of the subjects in this class, Mathematics `10
Correct Answer - (i) 60,35,13, (ii) 32
2 Answers 1 views
(i) Find the coordinates of the point which divides the join of A(-1, 7) and B(4, -3) in the ratio 2:3. (ii) Find the coordinates of the point which d
Correct Answer - (i) (1, 3) (ii) (2, -3)
2 Answers 5 views
Escape velocity on a planet is ve. If radius of the planet remains same and mass becomes 4 times, the escape velocity becomes
Correct option is: (B) \(2v_e\) Escape Velocity \(v_e = \sqrt {2gRe}\) \(\frac{V_{e1}}{V_{e2}} \propto \sqrt \frac{4R_1}{R_1}\) \(V_{escape \ 2} = 2 \ V_{escape \ 1}\)
2 Answers 1 views
Escape velocity on a planet is ve. If radius of the planet remains same and mass becomes 4 times, the escape velocity becomes
2 Answers
1 views
The ratio between the curved surface area and the total right circular cylinder is `1 : 2`. Find the volume of the cylinder if its total surface area
Correct Answer - `1078 cm^(3)`
2 Answers 1 views
If 2 is added to each of two given numbers, their ratio becomes 1 : 2. However, if 4 is subtracted from each of the given numbers, the ratio becomes 5
Correct Answer - 34, 70
2 Answers 1 views