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Statement 1 : The area of the triangle f...

Statement 1 : The area of the triangle formed by the points `A(1000 ,1002),B(1001 ,1004),C(1002 ,1003)` is the same as the area formed by the point `A^(prime)(0,0),B^(prime)(1,2),C^(prime)(2,1)`
Statement 2 : The area of the triangle is constant with respect to the translation of axes.
(a) Statement 1 and Statement 2, both are correct. Statement 2 is the correct explanation for Statement 1.
(b) Statement 1 and Statement 2, both are correct. Statement 2 is not the correct explanation for Statement 1.
(c) Statement 1 is correct but Statement 2 is not correct.
(d) Statement 2 is correct but Statement 1 is not correct.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The distance between the circumcenter and the orthocenter of the trian...

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  2. A man starts from the point P(-3, 4) and reaches point Q (0,1) touchin...

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  3. Statement 1 : The area of the triangle formed by the points A(1000 ,...

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  4. Consider three points P-=(-sin(beta-alpha),-cosbeta), Q-=(cos(beta-alp...

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  5. Factorise: (l+m)^2–4lm

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  6. Find |vecx| if for a unit vector, veca , (vecx-veca).(vecx+veca)=12,

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  7. A straight line passing through P(3,1) meets the coordinate axes at A ...

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  8. Let A-=(3,-4),B-=(1,2). Let P-=(2k-1,2k+1) be a variable point such th...

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  9. If |{:(x1,,y1,,1),(x2,,y2,,1),(x3,,y3,,1):}|=|{:(a1,,b1,,1),(a2,,b2,,1...

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  10. OPQR is a square and M,N are the middle points of the sides of PQ nad ...

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  11. Which of the following sets of points form an equilateral triangle? (...

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  12. A particle p moves from the point A(0,4) to the point 10 ,-4) . The pa...

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  13. ABC is an isosceles triangle. If the coordinates of the base are B(1,3...

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  14. If two vertices of a triangle are (1,3) and (4,-1) and the area of tri...

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  15. Find the number points (both the coordinates should be integer) exactl...

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  16. Let O(0,0),P(3,4), and Q(6,0) be the vertices of triangle O P Q . The ...

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  17. Find the orthocentre of the triangle whose vertices are (0,0),(3,0)...

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  18. The area of a triangle is 5. Two of its vertices are A(2,1) and B(3...

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  19. If A(1,p^2),B(0,1) and C(p ,0) are the coordinates of three points, th...

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  20. If the point P[X1+t(X2-X1),y1+t(y2-y1] divides AB internally where (X1...

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