Area of Polygon Using Coordinates
Trending Questions
Q. A system of line is given as y=mix+ci, where mi can take any value out of 0, 1, -1 and when mi is positive then ci can be 1 or -1 when mi equal 0, ci can be 0 or 1 and when mi equals -1, ci can take 0 or 2. Then the area enclosed by all these straight lines is
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sq. units
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sq. units
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sq. untis
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sq. units
Q.
The area enclosed by 2|x| + 3|y| ≤ 6 is
4 sq units
24 sq units
3 sq units
12 sq unit
Q. If the vertices of a quadrilateral are A(−3, 1), B(−1, 4), C(3, 2) and D(t1, −2) and the area of the quadrilateral is 19 sq. units, then which of the following is/are correct?
- t1=1
- t1=−75
- t1=75
- t1=−1
Q. The area (in sq. units) of the quadrilateral whose vertices are A(1, 1), B(3, 4), C(5, −2) and D(4, −7) is
- 41
- 64
- 374
- 412
Q. The volume of water to be added to 100 cm3 of a 0.5 N H2SO4 to get a decinormal solution is:
- 200 cm3
- 300 cm3
- 500 cm3
- 400 cm3
Q. 10 mL of a strong acid solution of pH = 2 is mixed with 990 mL of another strong acid solution of pH = 4. The pH of resulting solution will be :
- 4.002
- 3.7
- 4
- 4.2
Q.
The half life of a ratio active source is T. If radio activities of the samples are R1−R2 at time
T1 and T2 Respectively, then the number of atoms disintegrated in time (T2−T1) is proportional to
Q. If Y = SX, Z = tX all the variables being differentiable functions of x and lower suffices denote the derivative with respect to x and ∣∣
∣∣XYZX1Y1Z1X2Y2Z2∣∣
∣∣÷∣∣∣S1t1S2t2∣∣∣=Xn, then n=
- 3
- 4
- 1
- 2
Q.
Find the value of K if (−3k+1k+1, 4k+2k+1) lies on x + y - 5 = 0
2
-2
Q.
Prove that the area of the parallelogram formed by the lines.
a1x+b1y+c1=0, a1x+b1y+d1=0, a2x+b2y+c2=0, a2x+b2y+d2=0 is ∣∣(d1−c1)(d2−c2)a1b2−a2b1∣∣ sq. units.
Deduce the condition for these lines to form a rhombus.