Maths-
General
Easy
Question
Equation of the line passing though the point of intersection of the lines x + 2y – 3 = 0 and x
+ y –2 = 0 and also through the point (2, 1) is
- y = 1
- x = 1
- y = 0
- x = 0
Hint:
We have to find the line passing through point of intersection of two lines and given point. Using the lines of the equation, we will find the point of intersection of two lines. Then we will find the equation of line with the help of given line.
The correct answer is: y = 1
The given point is (2, 1)
The equation of two lines are as follows:
x + 2y – 3 = 0 …(1)
x + y – 2 = 0 …(2)
We will find the point of intersection of these two lines.
Let’s take the equation of second line and rearrange.
x = - y + 2
Now, we will substitute this equation in (1)
-y + 2 + 2y – 3 = 0
y – 1 = 0
y = 1
We will substitute this value in equation (1) to find the value of x.
x + 2(1) – 3 = 0
x + 2 – 3 = 0
x – 1 = 0
x = 1
The coordinates of point of intersection are (1,1)
As the line passes through point (1,1) and (2,1) we can find the equation of line using these two points.
We will use two point form to solve the question.
The formula of two point form is
Here, x and y are variables
(x1, y1) and (x2,y2) are the points through which line is passing.
Substituting the values
So, the equation of line is y = 1.
For such questions, we should know different formulas to find equation of line.
Related Questions to study
Maths-
The locus of the point which moves so that the square of its distance from the point (3, 0) is
equal to 7 is
Locus of a point means path traced by the given point while satisfying the given conditions. For such questions, we should know distance formula.
The locus of the point which moves so that the square of its distance from the point (3, 0) is
equal to 7 is
Maths-General
Locus of a point means path traced by the given point while satisfying the given conditions. For such questions, we should know distance formula.
Maths-
The area of triangle with vertices at (–4, –1) , (1, 2), (4, –3)
Here, the area of a triangle cannot be negative. Hence only the numerical value is considered.
The area of triangle with vertices at (–4, –1) , (1, 2), (4, –3)
Maths-General
Here, the area of a triangle cannot be negative. Hence only the numerical value is considered.
Physics-
An object is placed on the surface of a smooth inclined plane of inclination 
. It takes time t to reach the bottom. If the same objective is allowed to slide down a rough inclined plane of same inclination , it takes not to reach the bottom where n is a number greater than 1. The coefficient of friction 
is given by
An object is placed on the surface of a smooth inclined plane of inclination . It takes time t to reach the bottom. If the same objective is allowed to slide down a rough inclined plane of same inclination , it takes not to reach the bottom where n is a number greater than 1. The coefficient of friction is given by
Physics-General
Physics-
Two masses A and B each of mass M are fixed together by a massless spring. A force F acts on the mass B as shown in figure. At the instant shown the mass A has acceleration a. What is the acceleration of mass B?
Two masses A and B each of mass M are fixed together by a massless spring. A force F acts on the mass B as shown in figure. At the instant shown the mass A has acceleration a. What is the acceleration of mass B?
Physics-General
Physics-
A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force F is applied at one end of the rope, the force which the rope exerts on the block is:
A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force F is applied at one end of the rope, the force which the rope exerts on the block is:
Physics-General
Physics-
A force-time graph for the motion of a body is shown in figure. Change in linear momentum between 0 and 8 s is:
A force-time graph for the motion of a body is shown in figure. Change in linear momentum between 0 and 8 s is:
Physics-General
Physics-
Three blocks are connected on a horizontal frictionless table by two light strings, one between m1 and m2, another between m2 and m3 . The tensions are T1 between m1 and m2 and T2 between m2 and m3. if m1 = 1 kg, m2 = 8 kg, m3 = 27 kg and F = 36 N applied on m3, then T2 will be
Three blocks are connected on a horizontal frictionless table by two light strings, one between m1 and m2, another between m2 and m3 . The tensions are T1 between m1 and m2 and T2 between m2 and m3. if m1 = 1 kg, m2 = 8 kg, m3 = 27 kg and F = 36 N applied on m3, then T2 will be
Physics-General
Physics-
A block of mass m is held at the top of an inclined rough plane of angle of inclination . The coefficients of static and kinetic friction are 
and 
respectively. If the block is pushed down at the verge of slipping, assuming < tan-1 , Its acceleration down the plane is :
A block of mass m is held at the top of an inclined rough plane of angle of inclination . The coefficients of static and kinetic friction are and respectively. If the block is pushed down at the verge of slipping, assuming < tan-1 , Its acceleration down the plane is :
Physics-General
Physics-
Choose the wrong statement
Choose the wrong statement
Physics-General
Physics-
Mark the correct statements for a particle going on a straight line
Mark the correct statements for a particle going on a straight line
Physics-General
Physics-
Two different balls of masses m1 and m2 are allowed to slide down from rest and from same height h along two smooth inclined planes having different angles of inclination a and b. Then
Two different balls of masses m1 and m2 are allowed to slide down from rest and from same height h along two smooth inclined planes having different angles of inclination a and b. Then
Physics-General
Physics-
The string shown in the figure is passing over small smooth pulley rigidly attached to trolley A. If speed of trolley is constant and equal to VA. Speed and magnitude of acceleration of block B at the instant shown in figure is
The string shown in the figure is passing over small smooth pulley rigidly attached to trolley A. If speed of trolley is constant and equal to VA. Speed and magnitude of acceleration of block B at the instant shown in figure is
Physics-General
Physics-
Figure shows two blocks, each of mass m. The system is released from rest at the position, shown in fig. If initial acceleration of blocks A and B are a1 and a2 respectively and during the motion velocities of A and B are 
and 
respectively, then :
Figure shows two blocks, each of mass m. The system is released from rest at the position, shown in fig. If initial acceleration of blocks A and B are a1 and a2 respectively and during the motion velocities of A and B are and respectively, then :
Physics-General
Chemistry-
Beryllium shows diagonal relationship with :
Beryllium shows diagonal relationship with :
Chemistry-General
Chemistry-
When a mixture of solid NaCl, solid K2Cr2O7 is heated with conc. H2SO4, orange red vapours are obtained of the compound
When a mixture of solid NaCl, solid K2Cr2O7 is heated with conc. H2SO4, orange red vapours are obtained of the compound
Chemistry-General
