If the point P(x,y) is equidistant from the points A(a-b, a+b) and B(a+b, b-a) then prove bx=ay.

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Q.1=DRAW THE GRAPH OF x+y+1=0 and 3x +2y-12=0.Determine the coordinates of the vertices of the triangle formed by these lines and x axis .Calculate the area bounded by these lines and x axis.

how to solve (a-b)x + (a+b)y = (a²-2ab-b²) , (a+b) (x+y)=a²+b². by cross multiplication method

solve the system for x and y

b²x/a-a²y/b=ab(a+b) and b²x-a²y=2a²b²

a plane left 30 minutes later than the scheduled time and inorder to reach the desination, 1500km away in time. It has to increase the speed by 250km/h from the usual seed. Find the usual speed?

solve for x and y

x / a + y / b = 2 ; ax - by = a² - b²

solve the system of equation graphically ; 2(x-1)=y and x+3y=15; . also find the co ordinates of the point where the lines meet the axis of y .

A boat goes 30 Km upstream and 44 KM downstream in 10 hours.In 13 hours, it can go 40 KM upstream and 55 KM down- stream. Determine the speed and that pf the boat in still water....????

kindly explain this question....

2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can finish in 3 days. find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone

A man travels 600km partly by train and partly by car. If he covers 400km by train and the rest by car, it takes him 6 hours and 30 minutes. But if he travels 200 km by train and rest by car, he takes half an hour longer. Fine the speed of the train and that of the car

Students of a class are made to stand in rows. If one student is extra in a row, there would be 2 rows

What is the meaning of non-zero solution. For what value of p does the system of equation 2x-py=0, 3x+4y=0 has non zero solution

Points A and B are 90 km apart from each other on a highway. A car starts from A and another from B at the same time. If they go in the same direction they meet in 9 hours and if they go in opposite directions they meet in 9/7 hours. Find their sppeds.

Places A and B are 100 km apart on a highway. One car starts from A and another

for what value of K will the following pair of linear equation have no solution

3x+y=1

(2k-1)x+(k-1)y=2k+1

A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by the train.

 A train covered a certain distance at a uniform speed. If the train would have been 6km/hr. faster, it would have taken 4 hours less than the scheduled time. And if the train were slower by 6km/hr. it would have taken 6 hours more than the scheduled time. Find the length of the journey.

A sailor goes 8 km downstream in 40 minutes and returns in 1 hour.Determine the speed of the sailor in still water and the speed of the current?

A two digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting by 5 or by multiplying the difference of the digits by 16 and then adding 3. Find the number.

 solve graphically

1/2(2x+3y)+12/7(3x-2y)=1/2 & 7/2x+3y +4/3x-2y=2.sove the following equations

seven times a two digit number is equal to four times the number obtained by reversing the order of its digits if the difference between the digits is 3 , find the number

If students of a class are made to stand in rows,if 3 students are extra in a row ,there would be 1 row less .if 3 student are less in a row there would be 2 rows more .find the number of students in the class .please form the equation and solve it with proper explaination.

3. When lines l1 and l2 are parallel, then the graphical solution system of linear equation have

(a) infinite number of solutions (b) unique solution

(c) no solution (d) one solution

Half the perimeter of a rectangular garden, whose length is 4m more than its width,is 36m. Find the dimensions of the garden.

 A bag contains 94 coins of 50 paise and 25 paise denomination. If total worth of these coins be Rs.29.75, find the numberof each type.

the sum of the numerator and denominator of a fraction is 3 less than twice the denominator. if the numerator and denominator are decreased by 1,the numerator becomes half the denomiator.find the fraction.

If the zeroes of the quadratic polynomial 4x² 25x+kare in the ratio 1:24, then what is the value of k ?

8 men and 12 boys can finish a piece of work in 10 days while 6 men and boys can finish it in 14 days find the time taken by one man alone and that by one boy alone to finish the work

The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units. If we increase the length by 3 units and the breadth by 2 units, the area increases by 67 square units. Find the dimensions of the rectangle.

Can you do this question by Elimination Method??

if √ax-√by=b-a and √bx-√ay=0 then value of x,y is

A person, rowing at the rate of 5 km/hr in still water, takes thrice as much time in going 40 km upstream as in going downstream. Find the speed of the stream.

Pls tell how to solve this

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30km upstream and 21km downtream in 6.5 hours. Find the speed of the boat in the still water and the speed of stream.

4 men and 6 boys can finish a piece of work in 5 days while 3 men and 4 boys can finish it in

On selling a tea-set at 5% loss and a lemon-set at 15% gain, a crockery seller gains Rs. 7. If he sells

Q. Solve:

a) 0.4x + 3y = 1.2

    7x - 2y = 17/6

b) 3x - 4y = 1

     2x - 8/3y = -5

It takes 12 hours to fill a swimming pool using 2 pipes. If a pipe of larger diameter is used for 4 hours and the pipe of smaller diameter for 9 hours, only half the pool can be filled. How long it would take for each pipe to fill the pool separately? Give answer ASAP

Solve

mx-ny=m² + n² ; x+y = 2m

a group consists of honest and extremely kind people.if 8 honest people n 12 extremely kind people can finish a piece of work in 10 days while 6 honest n 8 extremely kind people can finish in 14 days.find the time taken by one honest man alonen that by extremely kind people alone to finish work?

x takes 3 hours more than y to walk 30 km. but if x doubles his pace, he is ahead of y by one and a half hours. find their speeds of walking.

A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km downstream.Ddetermine the speed of the stream and that of boat in water.

 Solve by cross -multiplication method : x+y = a+b, ax-by = a²-b² 

A and B are standing on the circumference of circle of radius 3m subtending an angle of 60° at centre. Initially , such that B is ahead of A. If they start moving at the same time then find after what time they will meet if they are moving in clockwise ditrections with their speed 7m/s and 5m/s respectively. 

The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. FInd the number.

how do i find it ??

'A' takes 3 hours more than 'B' to walk a distance of 30km. But, if 'A' doubles his pace he is ahead of 'B' by 1.5 hrs. Find the speed of 'A' and 'B'?

solve the following simultaneous equations:

(i) 3/rootx+4/rooty=17/6 ; 5/rootx-6/rooty=1/2

(ii) 2(3x-y)=5xy ; 2(x=3y)=5xy (x is not equal to 0,y is not equal to 0)

A two digit number when multiplied by 3 equals the square of the sum of its digits.If three times the sum of the digits is equal to the number itself,then find the number.

Solve (a-b)x + (a+b)y = asquare - 2ab - b square and (a+b)(x+y) = a square +b square.

 solve for x and y .... 3x+2y=2x+y+3=4x+3y-3

after covering a distance of 30 km with a uniform speed there is some defect in a train engine and therefore; its speed is reduced to 45 of its orignal speed.consequently, the train reaches is destination late by 45 minutes.Had it happened after covering 18 kilometers more, the train would have reached 9 minutes earlier.Find the speed of the train and the distance of the journey. HURRRRY HURRRY GIVE THE ANSWER

A man invested a amount at 8% per annum and another amount at 6% per annum simple interest . Thus, he received Rs248 as annual interest. Had he interchanged the amount invested, he would have received Rs 34 less.What amonts did he invest at different rates....????

a boat covers 32km upstream and 36km downstream in 7hours. also it covers 40km upstream and 48km downstream in 9hours. find the speed of the boat in still water and that of stream?

Draw the graph of the polynomial f(x) = -4x²+4x-1. Also find the vertex of this parabola

x -2 -3/2 -1 -1/2 0 1/2 1 3/2 2 5/2

y -25 -16 9 -4 -1 0 -1 -4 -9 -16

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For what values of a and b does the following pair of linear equations has a infinite number of solutions: 2x+3y=7; a(x+y)-b(x-y)=3a+b-2.

A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay Rs. 1000 as hostel charges whereas a student B,who takes food for 26 days,pays Rs. 1180 as hostel charges. Find the fixed charges and the cost of food per day.

b/a x + a/b y = a² + b² , x+y =2ab solve for x and y

RD Sharma solution

A man walks a certain distance with certain speed. If he walks 1/2 km an hour faster, he takes 1 hour

A wizard having the powers of mystic in candations and magical medicines seeing a cock fight going on, spoke privately to both the owners of the cocks. To one he said; if ur bird wins then you give me your stake money but if you don't win i shall give you two third of that.Going to the other he promised in the same way to give 3/4th . from both of them his gain could only be 12 gold coins. find the stake of money of each of the cock-owners have.

 Solve for x and y 

i) 2a/x +3b/y +1 = 0, 3a/x-b/y - 4 =0

ii) 2xy/x+y = 3/2 ; xy/2x - y =-3/10 ,x+y is not equal to 0, 2x - y is not equal to zero 

Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers, theratio becomes 4:5. Find the numbers.

solve the following pair of equations graphically. 2x+3y+4=0 ; 2x -3y -8=0.also shade the region formed by the lines with x axis.

the sum of numerator and denominator of fraction is 4 more than twice the numerator.

if the numerator and denominator are increase by 3 they are in the ratio 2:3.find the fraction

Ritu can row downstream 20 km in 2 hours and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.

39x+41y=76;41x+39y=84.

solve ax/-by/a=a+b,ax-by=2ab