In the figure, chords AB and CD of a circle intersect externally at P. If AB = 4 cm, CD = 11 cm and PD = 15 cm, then the length of PB is:
Select an option to see the answer and solution.
Aptitude · all questionsGeometry
Geometry
practice.
Practice every MCQ with options. Use Show answers when you want the correct option and solution.
264
Questions
3/14
Page
Pick an option on a question to see the right answer and solution.
In the given figure, if AC, DE are parallel and ∠CAB = 38°, then the value of ∠ABC + 5∠CBD is:
Select an option to see the answer and solution.
A, B and C are three points on the circle. If AB = AC = 7√2 cm and ∠BAC = 90° men the radius is equal to:
Select an option to see the answer and solution.
In the given figure, PQ is a diameter of the semicircle PABQ and O is its center. ∠AOB = 64°. BP cuts AQ at X. What is the value (in degrees) of ∠AXP?
Select an option to see the answer and solution.
In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value (in cm) of PB?
Select an option to see the answer and solution.
Let ABC be an equilateral triangle and AD perpendicular to BC. Then AB2 + BC2 + CA2 =?
Select an option to see the answer and solution.
In ΔABC, ∠A = 90°, AD is the bisector of ∠A meeting BC at D, and DE ⊥ AC at E. If AB = 10 cm and AC = 15 cm, then the length of DE, in cm, is:
Select an option to see the answer and solution.
In the given figure, AB = DB and AC = DC. If ∠ABD = 58° and ∠DBC = (2x - 4)°, ∠ACB = (y + 15)° and ∠DCB = 63° then the value of 2x + 5y is:
Select an option to see the answer and solution.
ΔABC and ΔDBC are on the same base BC but on opposite sides of it. AD and BC intersect each other at O. If AO = a cm, DO = b cm and the area of ΔABC = x cm2, then what is the area (in cm2) of ΔDBC?
Select an option to see the answer and solution.
Triangle ABC is similar to triangle PQR and AB : PQ= 2 : 3. AD is median to the side BC in triangle ABC and PS is the median to side QR in triangle PQR. What is the value of
Select an option to see the answer and solution.
In ΔABC, D and E are the points on AB and AC respectively such that AD × AC = AB × AE. If ∠ADE = ∠ACB + 30° and ∠ABC = 78°, then ∠A = ?
Select an option to see the answer and solution.
In the given figure, if KI = IT and EK = ET, then ∠TEI = . . . . . . . . .
Select an option to see the answer and solution.
If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB = 19 cm and AC = 22 cm then the length of BC is
Select an option to see the answer and solution.
In a ΔABC, ∠ABC = 2∠CAB, if the side BC is extended to D and ∠ACD = 126°, then ∠CAB is:
Select an option to see the answer and solution.
Two circles of radii 5 cm and 3 cm touch externally, then the ratio in which the direct common tangent to the circles divides externally the line joining the centres of the circles is:
Select an option to see the answer and solution.
In the figure, a circle touches all the four sides of a quadrilateral ABCD whose sides AB = 6.5 cm, BC = 5.4 cm and CD = 5.3 cm. The length of AD is:
Select an option to see the answer and solution.
PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. ΔABC is a triangle whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm. Then the length of the line joining the mid points of the sides AB and BC is.
Select an option to see the answer and solution.
In ΔABC, a line through A cuts the side BC at D such that BD : DC = 4 : 5. If the area of ΔABD = 60 cm2, then the area of ΔADC is:
Select an option to see the answer and solution.
If the perimeter of an isosceles right-angle triangle is 8( + 1) cm, then the length of the hypotenuse of the triangle is:
Select an option to see the answer and solution.
ABCD is a cyclic trapezium whose sides AD and BC are parallel to each other; if ∠ABC = 75° then the measure of ∠BCD is:
Select an option to see the answer and solution.