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If f(a) = 2, f`(a) = 1, g(a) = –1, g`(a) = 2, then value of
The vertices of a triangle ABC are (2,1),(5,2) and (3,4)respectively. The circumcentre is the point
If A and B are the points (–3,4) & (2,1). Then the coordinates of point C on AB produced such that AC = 2 BC are
The equation of the line passing through the intersection of x  √3 y + √3  1 = 0 and x y–2 = 0 and
making an angle of 15^{0} with the first line is
If 2x^{2} + λxy + 2y^{2} +(λ  4)x + 6y  5 = 0is the equation of a circle, then its radius is
Equation of circles which pass through the points (1,–2) and (3,–4) and touch the xaxis is
The circle whose centre is on the xaxis and the line 4x–3y–12 = 0 and whose radius is the distance
between the line 4x–3y–32 = 0 and 4x–3y–12 = 0 has equation
Equation of the circle whose radius is 5 and which touches externally the circle x^{2} + y^{2} 2x  4y  20 = 0 at
the point (5,5) is
The number of integral values of for λ which x^{2} + y^{2} +λx + (1  λ) y + 5 = 0is the equation of a
circle whose radius cannot exceed 5 is
The angle at which the circle x^{2} + y^{2} = 16 can be seen from the point (8,0) is
The slope of the tangent at the point (h,h) of the circle x^{2} + y^{2} = a^{2}is
If f (x) = [x sin p x] { where [x] denotes greatest integer function}, then f (x) is
The equation of the locus of the midpoints of the chords of the circle 4x^{2} + 4y^{2}  12x + 4y +1 = 0that subtend an anlge of 2π / 3 at its centre is
The distance of the point (1,2) from the radical axis of the circles x^{2} + y^{2} +6x  16 = 0 and x^{2 }+ y^{2} 2x + 6y = 0 is
Let f(x) be a twicedifferentiable function and f''(0) = 2. Then evaluate.
The minimum value of f(x) = ∣3  x∣ + ∣2 + x∣ + ∣5  x∣ is:
If m is the slope of common tangent of y = x^{2} – x + 1 & y = x^{2} – 3x + 1, then m is
The volume of a tetrahedron DABC is 9 cubic units. If ∠ACB = π/6 and 2AD + AC + BC = 18, then the length AD is
If expression x + 1/x^{2} (x > 0) attains its minimum value at x = α, then α^{3} is
357 docs148 tests

JEE Main Maths Test 10 Test  25 ques 
JEE Main Maths Test 11 Test  30 ques 
JEE Main Maths Test 12 Test  30 ques 
Syllabus for Chapter Wise Tests: Mathematics Doc  1 pages 
357 docs148 tests

JEE Main Maths Test 10 Test  25 ques 
JEE Main Maths Test 11 Test  30 ques 
JEE Main Maths Test 12 Test  30 ques 
Syllabus for Chapter Wise Tests: Mathematics Doc  1 pages 