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The graph of the linear equation 3x + 4y = 24 is a straight line intersecting x-axis and y-axis at the points A and B respectively. P(2, 0) and Q(0, 3/ 2) are two points on the sides OA and OB respectively of OAB, where O is the origin of the coordinate system. Given that AB = 10 cm, then PQ =

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Important Questions on Solution of Linear Simultaneous Equation

EASY
What is the value of u in the system of equations 3(2u+v)=7uv, 3(u+3v)=11uv?
EASY
The pair of linear equation kx+3y+1=0 and 2x+y+3 intersect each other, if
EASY
What is the point on the xy-plane satisfying 5x+2y=7xy and 10x+3y=8xy?
MEDIUM
If x, y, z are three integers such that x+y=8y+z=13 and z+x=17, then the value of x2yz is:
EASY
The non-zero solution of the equation a-x2bx-b-xc=c-xb-b-x2cx, where b0, c0 is
MEDIUM
P and Q are two examination halls. If 10 examinees are sent from P into Q, the number of examinees becomes equal in both the halls. If 20 examinees are transferred from Q into P, the number of examinees becomes double in P in comparison with Q. What is the number of examinees in each P and Q separately ?
MEDIUM
The graph of the equation 5x-2y+1=0 and 4y-3x+5=0, intersect at the point Pα,β. What is the value of 2α-3β?
MEDIUM
The point of the intersection of the graph of the equations 3x-5y=19 and 3y-7x+1=0 is Pα, β. What is the value of 3α-β?
MEDIUM
It is given that the equations x2-y2 = 0 and (x a)2+y2 =1 have single positive solution. For this, the value of ‘a’ is
MEDIUM
How many solutions will a pair of linear equations have, if the equations are 4x+5y-6=0 and 16x+20y+20=0?
MEDIUM
How many integral values of x and y satisfy the equation 5x+9y=7, where -500<x<500 and -500<y<500?
EASY

Consider the following statements:

  1. If x is directly proportional to z and y is directly proportional to z, then x2-y2 is directly proportional to z2.
  2. If x is inversely proportional to z and y is inversely proportional to z, then xy is inversely proportional to z2.

Which of the above statements is/are correct?

MEDIUM
A number of two digits is equal to 'k' times to the sum of these digits. If the places of these digits are mutually exchanged. the newly formed number is equal to the sum of these digits multiplied by which one of the following options ?
EASY
The cost price of 3 exam pads and 2 pencils is  96. 4 exam pads and 3 pencils cost  134. Find total cost (in ) of an exam pad and that of a pencil.
MEDIUM
If x and y are positive integers and 3xy=4, then find the minimum value of (3x+4y).
EASY
The graph of the equations 2x+3y=11 and x-2y+12=0 intersects at Px1, y1 and the graph of the equation x-2y+12=0 intersects the x-axis at Qx2, y2. What is the value of x1-x2+y1+y2?
EASY
Find the value of x after solving the following equation. 
0.12× (5x - 4) = 0.5x + 0.8 
 
MEDIUM
Find the number of solutions of a pair of linear equation 4x-9y+13=0 and 2x+3y-13=0.