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Let k be an integer such that triangle with vertices (k, –3k), (5, k) and (–k, 2) has area 28 sq. units. Then the orthocentre of this triangle is at the point :-JEE MAINS-Mathematics-2017
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If, for a positive integer n, the quadratic equation, x(x + 1) + (x + 1) (x + 2) + .....+ (x + n-1 ) (x + n) = 10n has two consecutive integral solutions, then n is equal to :-JEE MAINS-Mathematics-2017
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The function f:R-->[-1/2,1/2] defined as f(x)=x/(1+x^2) is:-JEE MAINS-Mathematics-2017
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The following statement (p --> q ) --> [(~p --> q) --> q] is :-JEE MAINS-Mathematics-2017
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If S is the set of distinct values of b for which the following system of linear equations x + y + z = 1 x + ay + z = 1 ax + by + z = 0 has no solution, then S is :-JEE MAINS-Mathematics-2017
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The area (in sq. units) of the region {(x, y} : x >= 0, x + y <= 3, x^2 <= 4y and y <= 1 + x } is :-JEE MAINS-Mathematics-2017
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For any three positive real numbers a,b and c 9(25a^2+b^2)+25(c^2-3ac)=15b(3a+c).Then-JEE MAINS-Mathematics-2017
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A hyperbola passes through the point P(2^(1/2),3^(1/2)) and has foci at (± 2, 0). Then the tangent to this hyperbola at P also passes through the point :-JEE MAINS-Mathematics-2017
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The normal to the curve y(x – 2)(x – 3) = x + 6 at the point where the curve intersects the y-axis passes through the point :-JEE MAINS-Mathematics-2017
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