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A straight line passing through P(3,1) m...

A straight line passing through `P(3,1)` meets the coordinate axes at A and B. It is given that the distance of this straight line from the origin O is maximum. The area of triangle OAB is equal to

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Factorise: (l+m)^2–4lm

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. O P Q R is a square and M ,N are the midpoints of the sides P Q and Q ...

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  18. If sum(i=1)^4(x1^2+y 1^2)lt=2x1x3+2x2x4+2y2y3+2y1y4, the points (x1, y...

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  19. In an acute triangle A B C , if the coordinates of orthocentre H are (...

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  20. Consider the points O(0,0), A(0,1), and B(1,1) in the x-y plane. Suppo...

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