Find the area of the triangle that lies in the first quadrant (with its base on the x-axis) and that is bounded by the lines y = 2x - 4 and y= -4x+20.

Q: The distance from the point P(3, 1,0) and the line x = 3 – 6t y =1+ 3t z = 7t equals to Answer:

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Q: Find the point (x0, y0) on the line 4x + 9y = 12 that is closest tothe origin.

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Q: . Calculate the area of the triangle formed by the line 3x-7y+4 =0 , and the (ans.: 8/21) axes.

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 27

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Q: Find the line L, that passes through the point P(1,2) and parallel to the line L2: x+2y=3.

A: Given data is: The equation of the line L2: x+2y=3 To find the equation of the line L1 that passes…

Q: Find the area of the triangle bounded by the lines y=x+3, y=2x-1 and y=-3x+4

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Q: Find the point on the line 2x + 6y + 5 = 0 which is closest to the point (2, 0).

A: Let, (h,k) be the point on the  2x+6y+5=0. That is,

Q: Find the distance between the point P(-2,4) and the line 3x-4y 12

A: Find the distance from the point P (–2, 4) to the line 3x – 4y = 12.

Q: Find r so that the line through (2,6) and (-4,r) a).parallel to 2x-3y=4 b). Pendicular to x+2y=1

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Q: Find the point on the line – 6x + 2y +1= 0 which is closest to the point (1, – 3).

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Q: Find all points on the curve 5x² + 8y² = 64 %3D

A: Given: The curve 5x2+8y2=64 where tangent line passes through the point (11, 0). To find: All the…

Q: Find the distance d between the point M(5, 2, 4) and the line x- 8 y -2 Z-2 %D -8 -9 7.

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Q: Find the point (xo, yo) on the line 4x + 9y = 12 that is closest to theong1n.

A: Given: 4x+9y=12 Let the distance between the point (x0, y0) and origin be D As it is given that the…

Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: Find the equation for the set of points in an xy-plane that are equidistant from the point P -6,3…

Q: Find the point on the line y = 2x + 8 that is closest to the origin.

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Q: Find the point on the line 3x – 4y –1 = 0 which are at a distance of 5 units from the point (3,2)

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Q: nded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: Find the point on the line y = x + 1 that is closest to the point (4, 1).

A: The given equation of the line is, y=x+1 Let the point x,x+1 is closest to the point 4,1 Using…

Q: The distance of the line 7x+ y- 5=0 from the origin is A 2 B V2 D2/2

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Q: Find the points on the line 3x – 4y – 1 = 0 which are at a distance of 5 units from the point (3,…

A: Solving the problem by finding the points.

Q: Find the equation of the line perpendicular to 6x+4y=7 passing through the point (0,4).   y=

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Q: Find the area of the segment cut off from the parabola x2 = 8y by the line x- 2y + 8 = U. %3D

A: Introduction ::

Q: How far is the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the origin

A: We have to find the distance of the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the…

Q: Find the point on the x-axis that is equidistant from the points (0,−1) and (5,−3)

A: To find the coordinates of the point satisfying the given conditions

Q: Find all points on the x-axis that are 6 units from the point .(4,-3)

A: Consider the point on the x-axis be (x, 0)

Q: Find the shortest distance, d, from the point (6, 0, -4) to the plane x + y + z = 4.

A: The shortest distance of a point from a plane is said to be along the line perpendicular to the…

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

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Q: find x and y intercept for y=square rood of 2x-1

A: given: y=2x-1

Q: Find the distance between the plances 3x +y-4z = 2 and 3x+ y- 4z = 24

A: Find the distance between the planes   3x+y-4z=2    and    3x+y-4z=24

Q: Find a point on the line y = 2x 3 that is 5 units from the x axis. %3D

A: The given equation is, y=2x-3

Q: Find the area of the triangle formed by the lines 5x + y – 14 = 0, x+ 7y + 38 = 0, and 9x – 5y + 2 =…

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Q: Let A(x,y) be the point on the line y = x + 1 that is closest to the point B(2,0). Then the square…

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Q: Find the distance between lines x + 3y = 5 and x + 3y = 25.

A: The distance between two parallel lines can be calculated using the formula,

Q: Find the point on the line 5x + 2y + 7 = 0 which is closest to the point (1, –2)

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Q: Find an equation for the set of points in an xy-plane that are equidistant from the point P and the…

A: Equidistant points mean that the distance of two points represented by P1 and P2 is equal to the…

Q: Find the point on the line 3x-4y-1=0 which are at a distance of 5 units from the point (3,2)

A: To Find: The point on the line 3x-4y-1=0 which are at a distance of 5 units from 3,2. Concept:…

Q: For what values of c is there a straight line that intersects the curve y = x' + cx' + 12x² – 5x + 2…

A: Given the equation of a curve , y=x4+cx3+12x2-5x+2. To find the value of c such that there is a…

Q: Find the point on the line x + 2y = 5 that is closest to the origin.

A: Let the point (x, y) on the given line x+2y=5  is closest to the origin (0, 0). observe that…

Q: Find the foot of the perpendicular drawn from (4,1) upon the straight line 3x – 4y + 12 = 0 -

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Q: 2. Find the area of the triangle formed by the lines 5x + y – 14 = 0, x+ 7y + 38 = 0, and 9x – 5y +…

A: Given equation of lines are 5x+y=14; x+7y=-38 and 9x-5y=-2. We have to find the area of the triangle…

Q: Find the distance between the parallel lines 3x + 4y – 5 = 0 and 6x+ 8y- 45 = 0.

A: The given equations of two parallel lines are Since, the given lines are parallel. Therefore, they…

Q: Find the distance between the plances 3x + y - 4z = 2 and 3x + y – 4z = 24

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Q: Find the point of the line y = 2x − 1 that is closest to the origin.

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Q: Q2) A- Find the distance between the line (y = x + 3 ) and center of circle (x²+y²–2x=0).

A: Topic : Coordinate Geometry  Answer  question no 2 :- sqrt(8) As per our guidelines,  at a time only…

Q: Find the point on the y-axis that is equidistant from the points A(-4,-2) and B(3,1).

A: Given points (-4,-2) & (3,1)Point on y-axis means x-coordinate is zero i.e.,point is (0,y)

Q: Find all points on the x-axis that are 5 units from the point (4, - 3).

A: Solution Given (x1,y1)= (4 -3) y2 = 0          (point lies on x- axis) we know the distance formula…