QQuestion
The equation of the line passing through the origin and parallel to the line 3x + 4y + 7 = 0 is:
(a) 3x + 4y + 5 = 0
(b) 4x − 3y − 5 = 0
(c) 4x − 3y = 0
(d) 3x + 4y = 0
✓Answer
(d) 3x + 4y = 0
Explanation:
Parallel lines have the same coefficients of x and y.
A line parallel to 3x + 4y + 7 = 0 has the form:
3x + 4y + c = 0
It passes through the origin (0, 0).
Substituting x = 0 and y = 0:
3(0) + 4(0) + c = 0
⇒ c = 0
Therefore, the required equation is 3x + 4y = 0.
Related Questions
More ICSE Easy level questions
A and B are two points on the x-axis and y-axis respectively, as shown in the figure. (a) Write down the coordinates of A and B. (b) P is a point on AB such that AP : PB = 3 : 1. Using the section formula, find the coordinates of P. (c) Find the equation of a line passing through P and perpendicular to AB.
ABC is a triangle whose vertices are A(1, −1), B(0, 4) and C(−6, 4). D is the midpoint of BC. Find: (a) the coordinates of D (b) the equation of the median AD.
In the given graph, P and Q are points such that PQ cuts off intercepts of 5 units and 3 units along the x-axis and y-axis respectively. Line RS is perpendicular to PQ and passes through the origin.[Graph as given in the question paper]Find:(a) the coordinates of P and Q.(b) the equation of RS.
In the given graph, ABCD is a parallelogram.[Graph as given in the question paper](a) Write the coordinates of A, B, C and D.(b) Calculate the coordinates of P, the intersection of diagonals AC and BD.(c) Find the slopes of CB and DA and verify that they are parallel.(d) Find the equation of diagonal AC.
The points A(x, y), B(3, −2) and C(4, −5) are collinear. Then y in terms of x is: (a) 3x − 11 (b) 11 − 3x (c) 3x − 7 (d) 7 − 3x
(a) If the lines kx − y + 4 = 0 and 2y = 6x + 7 are perpendicular to each other, find the value of k. (b) Find the equation of a line parallel to 2y = 6x + 7 and passing through (−1, 1).
If A = , then A² is equal to: (a) (b) (c) (d)
Statement 1: The point which is equidistant from three non-collinear points D, E and F is the circumcentre of △DEF. Statement 2: The incentre of a triangle is the point where the bisectors of the angles intersect. (a) Both statements are true. (b) Both statements are false. (c) Statement 1 is true and Statement 2 is false. (d) Statement 1 is false and Statement 2 is true.
Assertion (A): The mean of the first 9 natural numbers is 4.5. Reason (R): Mean = (a) A is true, R is false. (b) A is false, R is true. (c) Both A and R are true, and R is the correct reason for A. (d) Both A and R are true, and R is not the correct reason for A.
The marked price of an article is ₹1,375. If CGST is charged at the rate of 4%, then the price of the article including GST is: (a) ₹55 (b) ₹110 (c) ₹1,430 (d) ₹1,485
If the volumes of two spheres are in the ratio 27 : 64, then the ratio of their radii is: (a) 3 : 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9
Which of the following cannot be the probability of an event? (a) (b) 0.25 (c) (d) 67%