हिंदी

Find the Value of a So that the Point (3, A) Lies on the Line Represented by 2x − 3y + 5 = 0

Advertisements
Advertisements

प्रश्न

Find the value of a so that the point (3, a) lies on the line represented by 2x − 3y + 5 = 0

टिप्पणी लिखिए
Advertisements

उत्तर

It the point (3, a) lies on the line 2x - 3y = 5

then

2 (3) - 3 (a) = 5

⇒ 6 - 3a = 5

⇒ 3a = 6 - 5

⇒ 3a = 1

∴ a =`1/3`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Co-ordinate Geometry - Exercise 6.6 [पृष्ठ ६२]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 10
अध्याय 6 Co-ordinate Geometry
Exercise 6.6 | Q 21 | पृष्ठ ६२

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

On which axis do the following points lie?

P(5, 0)


Which point on the x-axis is equidistant from (5, 9) and (−4, 6)?


If G be the centroid of a triangle ABC, prove that:

AB2 + BC2 + CA2 = 3 (GA2 + GB2 + GC2)


In Fig. 14.36, a right triangle BOA is given C is the mid-point of the hypotenuse AB. Show that it is equidistant from the vertices O, A  and B. 

    

We have a right angled triangle,`triangle BOA`  right angled at O. Co-ordinates are B (0,2b); A (2a0) and C (0, 0).

 

 

 


Find a point on the x-axis which is equidistant from the points (7, 6) and (−3, 4).


Prove that the points (0, 0), (5, 5) and (-5, 5) are the vertices of a right isosceles triangle.


Find a point on y-axis which is equidistant from the points (5, -2) and (-3, 2).


Show that the points A(3,0), B(4,5), C(-1,4) and D(-2,-1) are the vertices of a rhombus. Find its area.


Find the ratio in which the point (-1, y) lying on the line segment joining points A(-3, 10) and (6, -8) divides it. Also, find the value of y.


Find the possible pairs of coordinates of the fourth vertex D of the parallelogram, if three of its vertices are A(5, 6), B(1, –2) and C(3, –2).


Show that ΔABC, where A(–2, 0), B(2, 0), C(0, 2) and ΔPQR where P(–4, 0), Q(4, 0), R(0, 2) are similar triangles.


If three points (x1, y1) (x2, y2), (x3, y3) lie on the same line, prove that  \[\frac{y_2 - y_3}{x_2 x_3} + \frac{y_3 - y_1}{x_3 x_1} + \frac{y_1 - y_2}{x_1 x_2} = 0\]

 


If  \[D\left( - \frac{1}{5}, \frac{5}{2} \right), E(7, 3) \text{ and }  F\left( \frac{7}{2}, \frac{7}{2} \right)\]  are the mid-points of sides of  \[∆ ABC\] ,  find the area of  \[∆ ABC\] .


If (x , 2), (−3, −4) and (7, −5) are collinear, then x =


The distance of the point (4, 7) from the x-axis is


If the points(x, 4) lies on a circle whose centre is at the origin and radius is 5, then x =


The point on the x-axis which is equidistant from points (−1, 0) and (5, 0) is


The point R divides the line segment AB, where A(−4, 0) and B(0, 6) such that AR=34AB.">AR = `3/4`AB. Find the coordinates of R.


Find the coordinates of the point of intersection of the graph of the equation x = 2 and y = –3.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×