Question:
In a rectangular coordinate system, triangle ABC is drawn so that one side of the triangle connects two points on the y axis, A(0, 2) and B(0, -4). If point C has coordinates (c, 0) and the area of ABC is 21, then C =
In a rectangular coordinate system, triangle ABC is drawn so that one side of the triangle connects two points on the y axis, A(0, 2) and B(0, -4). If point C has coordinates (c, 0) and the area of ABC is 21, then C =
Updated On: Sep 25, 2025
- \(\sqrt{53}\)
- 7
- \(\frac{1}{3}\)
- 21
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
\(Area=base\times\frac{height}{2}\)
\(21=\frac{6c}{2}\)
\(c=7\)
The correct option is (B): 7
\(21=\frac{6c}{2}\)
\(c=7\)
The correct option is (B): 7
Was this answer helpful?
0
0
Top Questions on Geometry
- During Durga Pooja, six wooden sticks are used to create a structure to be used in a Pandal. First, an isosceles triangle is created using three sticks. Let this triangle be \(PAB\) with \(PA = PB\). Then a square \(ABCD\) is completed using the common base \(AB\). To strengthen this structure, the equal sides \(PA\) and \(PB\) are also joined to points \(E\) and \(F\) on side \(CD\) such that \(CE = EF = FD\). What is the total length of sticks used to create 20 such structures if \(AB = 0.5\) meters?
- Two equal circles of radius 5 cm are touching each other at point \(P\). A common tangent to the circles touches them at points \(Q\) and \(R\). A square is drawn inside triangle \(PQR\) such that one of its sides is resting on this common tangent and the other two vertices touch the two circles. Find the area of the square.
- Let the three sides of a triangle ABC be given by the vectors $$ 2\hat{i} - \hat{j} + \hat{k}, \quad \hat{i} - 3\hat{j} - 5\hat{k}, \quad \text{and} \quad 3\hat{i} - 4\hat{j} - 4\hat{k}. $$ Let G be the centroid of the triangle ABC. Then $$ 6 \left( |\vec{AG}|^2 + |\vec{BG}|^2 + |\vec{CG}|^2 \right) \text{ is equal to}$$ _______
- Given below are two statements :
Statement I : The perimeter of a triangle is greater than the sum of its three medians.
Statement II : In any triangle ABC, if D is any point on BC, then \(AB + BC + CA>2AD\).
In the light of the above statements, choose the correct answer from the options given below : - ABCD is a rectangle where points C and D have coordinates (−2, 0) and (2, 0), respectively. If the area of the rectangle is 24, what is the best way to describe the equation of the line AB?
View More Questions
Questions Asked in NMAT exam
- What will come in the place of x?
- NMAT - 2025
- Puzzle
- If the square represents dancers, circle represents the singers, and rectangle represents the chefs, then how many teachers are there who are not singers?
- NMAT - 2025
- Visual Reasoning
- Two trains A and B start simultaneously in the opposite direction from two points A and B and arrive at their destinations 9 and 4 hours respectively after their meeting each other. At what rate does the second train B travel if the first train travels at 80 km per hour.
- NMAT - 2025
- Time, Speed and Distance
- From the following words, identify which word will make a similar analogous relationship as the first pair.
Pervers: Troublesome :: Subservient:
- NMAT - 2025
- Analogy
- This question consists of two capitalized words that have a certain relationship to each other, followed by a certain pair of words. Choose the pair that is RELATED to each other in the same way as the capitalized pair.
ASCERTAIN : DISREGARD :: DEVIOUS : ?
- NMAT - 2025
- Analogy
View More Questions