Recently Active Miscellaneous Questions

Comprehension for 18-20 Through the vertex O of the parabola y2=8x, chords OP and OQ are drawn at right angles to one another. PQ cuts axis of parabola at ...

A, B, C, D are also roots of the equation ...

A circle |Z|=1 cuts the curve in 4 points A, B, C and D. Find the area of the rectangle ABCD ...

Comprehension for 15-17 A curve is given as |Z+(2/3)√10|+|Z-(2/3)√10|=2√5 The eccentricity of the curve is ...

STATEMENT-I: The number of common tangents that can be drawn to the circle x2+y2=a2 and hyperbola x2-y2=a2 is two STATEMENT-II: y=mx±a√(m2-1) is a tangent to the hyperbola. For common tangent |a√(m2-1)|/√(m ...

STATEMENT-I: a,b,c are unit vectors, then maximum value of |a-b|2+|b-c|2+|c-a|2 is 9 STATEMENT-II: a.b+b.c+c.a≤(-3/2) ...

STATEMENT-I: For any three vectors a,b,c (bXc).[aX(bXc)]=0 STATEMENT-II: [aX(bXc)] lies in plane of b and c ...

Reasoning Type STATEMENT-I: From any point on the line 3x+4y-19=0, a tangent can be drawn to the circle x2+y2-4x+6y-12=0 STATEMENT-II: All points on the given line lies outside the circle ...

STATEMENT-I: The closest point on the curve y2-4x-2y+9=0 from the line 12x-4y-27=0 is (19/9,5/3) STATEMENT-II: The tangent at (19/9,5/3) has a slope same as the given line ...

A function f(x) is defined as f(x)=x2sin(1/x), x≠0 and f(0)=0 STATEMENT-I: f'(0)=0 STATEMENT-II: f'(x)=2xsin(1/x)-cos(1/x) ...

STATEMENT-I: If in a triangle acosA=bcosB, then triangle is always isosceles STATEMENT-II: sinAcosA=sinBcosB gives sin2A=sin2B ...

Reasoning Type STATEMENT-I: The equation 2sin2(x/4)cos2(x/2)=x2+1/x2 has one solution in 0≤x<2π STATEMENT-II: x2+1/x2≥2 ...

The value of x satisfying sin-1x+sin-1(1-x)=cos-1x are ...

A common tangent to x2+y2-4x+2y=0 and x2-5y2-4x-10y-126=0 is ...

y(2x3-y2)dx+x(y2-x3)dy=0 (1,1) lies on the curve Which of the following points lies on this curve? ...

Multiple Correct Answer follows Complex number satisfying the equations |(Z-16i)/(Z-8i)|=5/3 and |(Z-4)/(Z-8)|=1 ...

(3,-4) and (5,-2) are two consecutive vertices of a square in which (2,-2) is an interior point. The centre of the square is ...

a2+b2+c2=ca+ab√3 then the triangle is ...

The value of cot-1(-3)+cot-1(-2)= ...

The number of different matrices that can be with the numbers 1,2,3,4 each having four elements is ...

FInd lim(n→∞) 1/√(n2+n) + 1/√(n2+2n)+.....+ 1/√(n2+2n2) ...

Straight Objective Type \int_{0}^{1}{\frac{1-x^{2}}{1+x^{2}}.\frac{dx}{\sqrt{1+x^{4}}}} = ...

There are 8 seats in a row. Three persons take seats in random. The probability that the first seat is always occupied and no two persons are consecutive is ...

Let a,b,c be the unit vectors such that a+b+c=0. Then the area of the triangle formed by a,b and c is ...

Let x,y be the real numbers satisfying the equation x2+2x+y2+2y-47=0 If the maximum and minimum values of x2+y2-4x-6y+13 are M and m respectively, then the numerical value of M-m is ...

This is being cancelled find the area bounded by the curves x2+y2=4 x2+y2-2|x|-2|y|+4≤0 If want to solve then second circle equation is x2+y2-2|x|-2|y|-4≤0 ...

\lim_{x\rightarrow 0}\left(tan\frac{\pi x}{4} \right)^{tan\frac{\pi x}{2}} ...

f(x)+f(y)=f\left(\frac{x+y}{1-4xy} \right) for x,y in R (4xy≠1) \lim_{x\rightarrow 0}\frac{f(x)}{x}=2 find f'(1) ...

For the expansion (1+x)10 C0+C3+C6+C9= ...

The greatest value of x2y3z4 (x+2y+3z=1, x,y,z>0) is ...